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M-serially summing operators on Banach lattices Ann. Funct. Anal. (IF 1.0) Pub Date : 2024-03-16 Fu Zhang, Hanhan Shen, Zili Chen
Let E, F be Banach lattices, where E has the disjoint Riesz decomposition property. For a lattice homomorphism \(T:E\rightarrow F\) and a bounded subset A of E, we establish a necessary and sufficient condition under which TA is b-order bounded. Based on this, we study the b-order boundedness of subsets of E and obtain several characterizations of AM-spaces. Furthermore, we introduce and investigate
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Disjoint subspace-hypercyclic operators on separable Banach spaces Ann. Funct. Anal. (IF 1.0) Pub Date : 2024-03-14 Renyu Chen, Xiang Chen, Zehua Zhou
In this paper, we initially introduce the concept of disjoint subspace-hypercyclic operators and illustrate that disjoint subspace-hypercyclic operators differ from disjoint hypercyclic operators. Furthermore, we obtain two different criteria for disjoint subspace-hypercyclic operators. Finally, we discover an equivalent condition regarding the bilateral forward weighted shift operators’ disjoint
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Block dual Toeplitz operators on the orthogonal complement of the Dirichlet space Ann. Funct. Anal. (IF 1.0) Pub Date : 2024-03-11 Chunxu Xu, Jianxiang Dong, Tao Yu
We give some characterizations of block dual Toeplitz operators acting on the orthogonal complement of the Dirichlet space. We characterized the compactness of the finite sum of block dual Toeplitz products. Commuting block dual Toeplitz operators and quasinormal block dual Toeplitz operators are also considered.
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Some new weighted weak-type iterated and bilinear modified Hardy inequalities Ann. Funct. Anal. (IF 1.0) Pub Date : 2024-03-02
Abstract We characterize the good weights for some weighted weak-type iterated and bilinear modified Hardy inequalities to hold.
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Common properties of a and b satisfying $$ab^n = b^{n+1}$$ and $$ba^n = a^{n+1}$$ in Banach algebras Ann. Funct. Anal. (IF 1.0) Pub Date : 2024-02-27 Fei Peng, Xiaoxiang Zhang
This paper describes the common properties of elements a and b satisfying \(ab^n = b^{n + 1}\) and \(ba^n = a^{n + 1}\) in the settings of Banach algebras, rings and operator algebras from the viewpoint of generalized inverses and spectral theory, where n is a positive integer. As applications, we show that if $$\begin{aligned} M_0 = \begin{pmatrix} T &{} 0 \\ 0 &{} N_0 \end{pmatrix}, M_1 = \begin{pmatrix}
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Two weight estimates for $$L^{r}$$ -Hörmander singular integral operators and rough singular integral operators with matrix weights Ann. Funct. Anal. (IF 1.0) Pub Date : 2024-02-27 Yongming Wen, Wenting Hu, Fuli Ku
In this paper, we give new bump conditions for two matrix weight inequalities of \(L^{r}\)-Hörmander singular integral operators and rough singular integral operators, which are new even in the scalar cases. As applications, we obtain quantitative one weight inequalities for rough singular integral operators.
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Making more approximate oblique dual frame pairs Ann. Funct. Anal. (IF 1.0) Pub Date : 2024-02-25 Yun-Zhang Li, Li-Juan Wu
The concept of approximate oblique dual frame was introduced by Díaz, Heineken and Morillas. It is more general than traditional dual frame, oblique dual frame, and approximate dual frame. This paper addresses constructing more approximate oblique dual frame pairs starting from one given oblique dual frame pair. Using “analysis and synthesis operator”, “portrait”, and “gap” perturbation techniques
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Composition operators on weighted Fock spaces induced by $$A_{\infty }$$ -type weights Ann. Funct. Anal. (IF 1.0) Pub Date : 2024-02-23 Jiale Chen
In this paper, we study the composition operators \(C_{\varphi }\) acting on the weighted Fock spaces \(F^p_{\alpha ,w}\), where w is a weight satisfying some restricted \(A_{\infty }\)-conditions. We first characterize the boundedness and compactness of the composition operators \(C_{\varphi }:F^p_{\alpha ,w}\rightarrow F^q_{\beta ,v}\) for all \(0q\) is also obtained. Then, in the case that \(w(z)=(1+|z|)^{mp}\)
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p-Compactness of Bloch maps Ann. Funct. Anal. (IF 1.0) Pub Date : 2024-02-21 A. Jiménez-Vargas, D. Ruiz-Casternado
Influenced by the concept of a p-compact operator due to Sinha and Karn (Stud Math 150(1): 17–33, 2002), we introduce p-compact Bloch maps of the open unit disk \(\mathbb {D}\subseteq \mathbb {C}\) to a complex Banach space X, and obtain its most outstanding properties: surjective Banach ideal property, Möbius invariance, linearisation on the Bloch-free Banach space over \(\mathbb {D}\), inclusion
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Cyclic vectors in Fock-type spaces in multi-variable case Ann. Funct. Anal. (IF 1.0) Pub Date : 2024-02-19 Hansong Huang, Kou Hei Izuchi
This manuscript concerns with cyclic vectors in the Fock-type spaces \({L^{p}_{a}}(\mathbb C^d,s,\alpha )\) of multi-variable cases, with positive parameters \(s,\alpha \) and \(p\ge 1\). The one-variable case has been settled by the authors. Here, it is shown that for a positive number \(s\not \in \mathbb {N}\), a function f in the Fock-type space \({L^{p}_{a}}(\mathbb C^d,s,\alpha )\) is cyclic if
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Regularity results for classes of Hilbert C*-modules with respect to special bounded modular functionals Ann. Funct. Anal. (IF 1.0) Pub Date : 2024-02-17 Michael Frank
Considering the deeper reasons of the appearance of a remarkable counterexample by Kaad and Skeide (J Operat Theory 89(2):343–348, 2023) we consider situations in which two Hilbert C*-modules \(M \subset N\) with \(M^\bot = \{ 0 \}\) over a fixed C*-algebra A of coefficients cannot be separated by a non-trivial bounded A-linear functional \(r_0: N \rightarrow A\) vanishing on M. In other words, the
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On creating new essential spectrum by self-adjoint extension of gapped operators Ann. Funct. Anal. (IF 1.0) Pub Date : 2024-02-16 Alessandro Michelangeli
Given a densely defined and gapped symmetric operator with infinite deficiency index, it is shown how self-adjoint extensions admitting arbitrarily prescribed portions of the gap as essential spectrum are identified and constructed within a general extension scheme. The emergence of new spectrum in the gap by self-adjoint extension is a problem with a long history and recent deep understanding, and
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Lipschitz continuity of the dilation of Bloch functions on the unit ball of a Hilbert space and applications Ann. Funct. Anal. (IF 1.0) Pub Date : 2024-02-13 Alejandro Miralles
Let \(B_E\) be the open unit ball of a complex finite- or infinite-dimensional Hilbert space. If f belongs to the space \(\mathcal {B}(B_E)\) of Bloch functions on \(B_E\), we prove that the dilation map given by \(x \mapsto (1-\Vert x\Vert ^2) \mathcal {R}f(x)\) for \(x \in B_E\), where \(\mathcal {R}f\) denotes the radial derivative of f, is Lipschitz continuous with respect to the pseudohyperbolic
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Lorentz spaces depending on more than two parameters Ann. Funct. Anal. (IF 1.0) Pub Date : 2024-02-08 Albrecht Pietsch
For more than 50 years, the author has asked himself why Lorentz spaces are only defined for two parameters. Has this choice been made just for simplicity or is it a natural bound that cannot be exceeded? This question is principal and has nothing to do with usefulness. Now, I discovered a way to produce Lorentz sequence spaces for any finite number of parameters. Having found the right approach, everything
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Spectral enclosures for some unbounded $$n\times n$$ operator matrices Ann. Funct. Anal. (IF 1.0) Pub Date : 2024-01-31 Yaru Qi, Yuying Li, Yihui Kong
In this paper, we establish the enclosures for the spectrum of unbounded \(n\times n\) operator matrices in a Banach space. For diagonally dominant and off-diagonally dominant operator matrices, we present a new Gershgorin-type results on the localization of the spectrum by using the Schur complements and the quadratic complements, respectively, that no longer requires dominance order of 0 nor \(<1\)
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A note on commutator-simple algebras Ann. Funct. Anal. (IF 1.0) Pub Date : 2024-01-25 Jiankui Li, Shaoze Pan, Cangyuan Wang
We investigate the property of commutator-simplicity in algebras from both algebraic and analytic perspectives. We demonstrate that a large class of algebras possess this property. As an analytic analog, we introduce the concept of topological commutator-simplicity for Banach algebras and establish that a \(\sigma \)-unital \(C^{*}\)-algebra is topological commutator-simple if and only if its multiplier
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Lie derivable maps on nest algebras Ann. Funct. Anal. (IF 1.0) Pub Date : 2024-01-25 Lei Liu, Kaipeng Li
Let \(\mathcal {N}\) be a non-trivial nest on a Hilbert space H and \(\textrm{alg}\mathcal {N}\) be the associated nest algebra. Let \(G\in \textrm{alg}\mathcal {N}\) be an operator with \(\overline{\textrm{ran}(G)}\in \mathcal {N}\backslash \{H\}\). In this note, we give a description of Lie derivable maps and generalized Lie 2-derivable maps at G of nest algebra \(\textrm{alg}\mathcal {N}\).
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Fredholm properties of a class of coupled operator matrices and their applications Ann. Funct. Anal. (IF 1.0) Pub Date : 2024-01-18
Abstract This paper deals with Fredholm properties of the one-sided coupled operator matrix \({\mathcal {M}}=\left( \begin{array}{cc} A &{} B \\ 0 &{} D \end{array} \right) \left( \begin{array}{cc} I &{} 0 \\ L &{} I \end{array} \right)\) by means of generalized Schur factorization and the associated space decompositions. For \(\lambda \in {\mathbb {C}},\) some sufficient conditions are given for \(\lambda
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Projective and injective tensor products of Banach $$L^0$$ -modules Ann. Funct. Anal. (IF 1.0) Pub Date : 2024-01-08 Enrico Pasqualetto
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Singular value and norm inequalities involving the numerical radii of matrices Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-12-19 Ahmad Al-Natoor, Omar Hirzallah, Fuad Kittaneh
It is shown that if A, B, X, and Y are \(n\times n\) complex matrices, such that X and Y are positive semidefinite, then $$\begin{aligned} s_{j}\left( AXB^{*}+BYA^{*}\right) \le \left( \left\| A\right\| \left\| B\right\| +\omega \left( A^{*}B\right) \right) s_{j}\left( X\oplus Y\right) \end{aligned}$$ for \(j=1,2,\ldots ,n\), and if A is accretive–dissipative, then $$\begin{aligned} \left| \left| \left|
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On the smoothness of normed spaces Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-12-16 Józef Banaś, Justyna Ochab, Tomasz Zając
The aim of the paper is to discuss and clarify some concepts of the geometric theory of normed spaces. We mainly intend to present recent results concerning the concept of smoothness of normed spaces in connection with the concepts of the strict and uniform convexity of those spaces.
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Cesàro-like operators between the Bloch space and Bergman spaces Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-12-09 Yuting Guo, Pengcheng Tang, Xuejun Zhang
Let \({\mathbb {D}}\) be the unit disc in the complex plane. Given a positive finite Borel measure \(\mu \) on the radius [0, 1), we denote the n-th moment of \(\mu \) as \(\mu _{n}\), that is, \(\mu _{n}=\int _{[0,1)}t^{n} \textrm{d}\mu (t).\) The Cesàro-like operator \({\mathcal {C}}_{\mu ,s}\) is defined on \(H({\mathbb {D}})\) as follows: If \(f(z)=\sum _{n=0}^{\infty }a_{n}z^{n} \in H({\mathbb
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Variations of the James and Schäffer constants in Banach spaces Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-12-05 Horst Martini, Pier Luigi Papini, Senlin Wu
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The pseudo-regularity of the range of orthogonal projections in Krein spaces Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-11-22 Lulu Zhang, Guojun Hai
Let P, Q be two orthogonal projections and J be a symmetry such that \(JP=QJ\). Based on the block operator technique and Halmos’ CS decomposition, we devote to characterizing the pseudo-regularity of \({\mathcal {R}}(P)\) and \({\mathcal {R}}(Q)\). It is given the J-projection onto a regular complement of \({\mathcal {R}}(P)^{\circ }\) in \({\mathcal {R}}(P)\) (resp. \({\mathcal {R}}(Q)^{\circ }\)
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Positive periodic solutions for certain kinds of delayed q-difference equations with biological background Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-11-14 Marko Kostić, Halis Can Koyuncuoğlu, Youssef N. Raffoul
This paper specifically focuses on a specific type of q-difference equations that incorporate multiple delays. The main objective is to explore the existence of positive periodic solutions using coincidence degree theory. Notably, the equation studied in this paper has relevance to important biological growth models constructed on quantum domains. The significance of this research lies in the fact
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Genuine Bernstein–Durrmeyer type operators preserving 1 and $$x^j$$ Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-10-28 Ulrich Abel, Ana Maria Acu, Margareta Heilmann, Ioan Raşa
We introduce a family of genuine Bernstein–Durrmeyer type operators preserving the functions 1 and \(x^j\). For them, we establish Voronovskaja type formulas. The behaviour with respect to generalized convex functions is investigated.
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Fixed Point Theorem: variants, affine context and some consequences Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-10-24 Anderson L. A. de Araujo, Edir J. F. Leite
In this work, we will present variants Fixed Point Theorem for the affine and classical contexts, as a consequence of general Brouwer’s Fixed Point Theorem. For instance, the affine results will allow working on affine balls, which are defined through the affine \(L^{p}\) functional \(\mathcal {E}_{p,\Omega }^p\) introduced by Lutwak et al. (J Differ Geom 62:17–38, 2002) for \(p > 1\) that is non convex
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Some properties of the extremal function for the Fuglede p-modulus Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-10-24 Małgorzata Ciska-Niedziałomska
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Estimates for bilinear generalized fractional integral operator and its commutator on generalized Morrey spaces over RD-spaces Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-10-18 Guanghui Lu, Shuangping Tao, Miaomiao Wang
Let \((X,d,\mu )\) be an RD-space. In this paper, we prove that a bilinear generalized fractional integral \(\widetilde{T}_{\alpha }\) is bounded from the product of generalized Morrey spaces \(\mathcal {L}^{\varphi _{1},p_{1}}(X)\times \mathcal {L}^{\varphi _{2},p_{2}}(X)\) into spaces \(\mathcal {L}^{\varphi ,q}(X)\), and it is also bounded from the product of spaces \(\mathcal {L}^{\varphi _{1}
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Beurling quotient subspaces for covariant representations of product systems Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-10-04 Azad Rohilla, Harsh Trivedi, Shankar Veerabathiran
Let \((\sigma , V^{(1)}, \dots , V^{(k)})\) be a pure doubly commuting isometric representation of the product system \({\mathbb {E}}\) on a Hilbert space \({\mathcal {H}}_{V}.\) A \(\sigma \)-invariant subspace \({\mathcal {K}}\) is said to be Beurling quotient subspace of \({\mathcal {H}}_{V}\) if there exist a Hilbert space \({\mathcal {H}}_W,\) a pure doubly commuting isometric representation \((\pi
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On the Schauder fixed point property II Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-09-21 Khadime Salame
The Schauder fixed point property (F) was introduced and studied by Lau and Zhang as a semigroup formulation in the general setting of convex spaces of the well-known Schauder fixed point theorem in Banach spaces. What amenability property should possess a semigroup or a topological group to satisfy the Schauder fixed point property. Recently, the author provided a partial answer to that question and
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A non-trivial solution for a p-Schrödinger–Kirchhoff-type integro-differential system by non-smooth techniques Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-09-18 Juan Mayorga-Zambrano, Daniel Narváez-Vaca
We consider the integro-differential system \((\textrm{P}_m)\): $$\begin{aligned} - \left( a_k+b_k \left( \displaystyle \int _{{\mathbb {R}}^{N}} |\nabla u_k|^{p} dx \right) ^{p-1} \right) \Delta _{p} u_k + V(x) |u_k|^{p-2} u_k = \partial _{k} F(u_1,\ldots ,u_m), \end{aligned}$$ where \(x\in {\mathbb {R}}^N\), \(a_k>0\), \(b_k\ge 0\), \(N\ge 2\) and \(10\) and a coercivity property introduced by Bartsch
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Preduals of variable Morrey–Campanato spaces and boundedness of operators Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-08-31 Ciqiang Zhuo
Let \(p(\cdot ):\ {\mathbb {R}}^n\rightarrow (1,\infty )\) be a variable exponent, such that the Hardy–Littlewood maximal operator is bounded on the variable exponent Lebesgue space \(L^{p(\cdot )}({\mathbb {R}}^n),\) and \(\phi :\ {\mathbb {R}}^n\times (0,\infty )\rightarrow (0,\infty )\) be a function satisfying some conditions. In this article, we give some properties of variable Campanato spaces
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Refinements of the Cauchy–Schwarz inequality in pre-Hilbert $$C^*$$ -modules and their applications Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-08-27 Ali Zamani
New extensions of the Cauchy–Schwarz inequality in the framework of pre-Hilbert \(C^*\)-modules are given. An application to the numerical radius in \(C^*\)-algebras is also provided.
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Rough Hausdorff operators on Lebesgue spaces with variable exponent Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-08-23 Ziwei Li, Jiman Zhao
In this paper, we study rough Hausdorff operators on variable exponent Lebesgue spaces in the setting of the Heisenberg group. We prove the boundedness of rough Hausdorff operators by giving some sufficient conditions.
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Weighted holomorphic mappings attaining their norms Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-08-22 A. Jiménez-Vargas
Given an open subset U of \({\mathbb {C}}^n,\) a weight v on U and a complex Banach space F, let \(\mathcal {H}_v(U,F)\) denote the Banach space of all weighted holomorphic mappings \(f:U\rightarrow F,\) under the weighted supremum norm \(\left\| f\right\| _v:=\sup \left\{ v(z)\left\| f(z)\right\| :z\in U\right\} .\) We prove that the set of all mappings \(f\in \mathcal {H}_v(U,F)\) that attain their
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Noncommutative Pick–Julia theorems for generalized derivations in Q, Q $$^*$$ and Schatten–von Neumann ideals of compact operators Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-08-21 Danko R. Jocić
If C and D are strictly accretive operators on \({\mathcal {H}}\) and at least one of them is normal, such that \(CX\!-\!XD\in { {{{\varvec{{\mathcal {C}}}}}}_{\Psi }({\mathcal {H}})}\) for some \(X\in { {{{\varvec{{\mathcal {B}}}}}}({\mathcal H})}\) and \(Q^*\) symmetrically norming function \(\Psi ,\) then for all holomorphic functions h, mapping the open right half (complex) plane into itself, we
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A note on exceptional sets in Erdös–Rényi limit theorem Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-08-14 Chuntai Liu
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2-Local isometries on vector-valued differentiable functions Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-08-08 Lei Li, Siyu Liu, Weiyun Ren
Let Q, K be connected open subsets of \(\mathbb {R}^m\) and A(X), A(Y) be some kind of function spaces. We will study the 2-local isometries between the vector-valued differentiable function spaces \(C_0^p(Q, A(X))\) and \(C_0^p(K, A(Y))\), and show that they can be written as weighted composition operators.
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Catalan generating functions for bounded operators Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-07-27 Pedro J. Miana, Natalia Romero
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On the positively limited p-Schur property in Banach lattices Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-07-23 Halimeh Ardakani, Khadijeh Amjadi
This paper is devoted to three properties of Banach lattices related to positively limited sets, which are called the positively limited Schur property of order p \((1 \le p \le \infty );\) that is, spaces on which every weakly p-compact and positively limited set is relatively compact, the positive DP\(^*\) property of order p and the weak positively limited Schur property of order p, respectively
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Toms–Winter conjecture for C*-modules Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-07-13 Azam Yousefi, Mohammad R. Mardanbeigi, Massoud Amini
We prove a module version of Toms–Winter conjecture for a class of \(C^*\)-algebras which are \(C^*\)-modules on another \(C^*\)-algebra with compatible actions.
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Numerical radius inequalities of sectorial matrices Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-07-05 Pintu Bhunia, Kallol Paul, Anirban Sen
We obtain several upper and lower bounds for the numerical radius of sectorial matrices. We also develop several numerical radius inequalities of the sum, product and commutator of sectorial matrices. The inequalities obtained here are sharper than the existing related inequalities for general matrices. Among many other results we prove that if A is an \(n\times n\) complex matrix with the numerical
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Boundedness of one class of integral operators from $$L_p$$ to $$L_q$$ for $$1<\infty $$ Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-07-03 Ryskul Oinarov, Ainur Temirkhanova, Aigerim Kalybay
In this paper, we obtain necessary and sufficient conditions for the boundedness of Volterra integral operators in Lebesgue spaces in the case \(1
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Multivalued Bourgin’s theorem and applications Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-06-24 M.’hamed El-Louh, Mohamed El-Moustafid, Fatima Ezzaki, Khalid Tahri
We prove an unbounded multivalued version of classical Bourgin’s theorem. As application, we establish a new convergence results for multivalued martingale with respect to linear topology and slice topology. The Mosco convergence of multivalued martingale is also presented.
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A modified convergence analysis for steepest descent scheme for solving nonlinear operator equation Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-06-23 M. P. Rajan, Niloopher Salam
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Toeplitz operators between Bergman–Orlicz spaces Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-06-23 Min Dong, Yongjiang Duan, Siyu Wang
Given a positive Borel measure \(\mu \) on the unit disk \({\mathbb {D}}\), let \(K^\alpha _z(w)=\frac{1}{(1-\overline{z}w)^{2+\alpha }}\) be the reproducing kernel of \(A_\alpha ^2({\mathbb {D}})\) at z. The Toeplitz operators with symbol \(\mu \) are densely defined as follows: $$\begin{aligned} T_\mu (f)(z)= \int _{{\mathbb {D}}}f(w)\overline{K^\alpha _z(w)}{\text {d}}\mu (w),~f\in H^\infty ({\mathbb
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The convergence of Galerkin–Petrov methods for Dirichlet projections Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-06-19 Li He, Yifang Li, Yiyuan Zhang
In this paper, we establish the convergence of several Galerkin–Petrov methods, including the finite section method, the polynomial collocation method and the analytic element collocation method for Toeplitz operators on Dirichlet type spaces. In particular, we show that such methods converge if the basis functions and test functions own certain circular symmetry.
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Discrete Gabor frames and K-discrete Gabor frames Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-06-07 Yu Tian, Wei Zhang, Hui-Fang Jia
The theory of discrete Gabor (D-G) frames has attracted many mathematicians and engineers due to its potential applications in digital signal processing. As a generalization of the general frames, K-frames are also deeply studied in abstract Hilbert space. This paper addresses the D-G frames and K-D-G frames in \(l^{2}(\mathbb Z).\) For D-G frames, we first present that a pair of D-G Bessel sequences
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On weighted boundedness and compactness of commutators of Marcinkiewicz integral associated with Schrödinger operators Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-06-04 Juan Zhang, Qianjun He, Qingying Xue
This paper is devoted to studying the weighted boundedness and compactness of commutators of Marcinkiewicz integral related to Schrödinger operators. We show that the commutators of Marcinkiewicz integral related to Schrödinger operators with pointwise multiplication with functions in \({\textrm{BMO}}(\sigma )\) space are weighted \(L^p(p>1)\) bounded and with functions in \(\textrm{CMO}(\sigma )\)
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On Flett potentials associated with the Laplace–Bessel differential operator Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-05-24 Melih Eryiğit, Güldane Yıldız, Simten Bayrakci, Sinem Sezer
This article introduces new anisotropic wavelet-type transforms generated by the Laplace–Bessel differential operator. Two components generate these transforms: a wavelet function and a kernel function called the generalized Poisson kernel. Then, we obtain explicit inversion formulas for the Flett potentials using the wavelet-like transform.
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Uncertainty inequalities for certain connected Lie groups Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-05-24 Piyush Bansal, Ajay Kumar, Ashish Bansal
Pitt’s inequality for exponential solvable Lie groups with non-trivial center, connected nilpotent Lie groups with non-compact center, Heisenberg motion group and diamond Lie groups has been proved. These inequalities have been used to establish logarithmic uncertainty inequality and Heisenberg uncertainty inequality for the above classes of groups.
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Determinantal polynomials of some weighted shift matrices with palindromic weights Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-05-16 Bikshan Chakraborty, Sarita Ojha, Riddhick Birbonshi
We obtain an explicit expression of the determinantal polynomials of weighted shift matrices with palindromic weights $$\begin{aligned} (a,b,a,b,\ldots ,a,b,c,b,a,b,a,\ldots ,b,a),\ (a,b,a,b,\ldots ,a,c,a,b,a,\ldots ,b,a), \end{aligned}$$ \((a,b,a,b,\ldots ,a,c,c,a,b,a,\ldots ,b,a)\) and \((a,b,\ldots ,a,b,c,c,b,a,\ldots ,b,a)\).
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Properties of Newton polynomials and Toeplitz operators on Newton spaces Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-05-12 Eungil Ko, Ji Eun Lee, Jongrak Lee
In this paper, we study properties of Toeplitz operators on the Newton space \(N^2({\mathbb H})\) which has Newton polynomials as an orthonormal basis. We show that for \(\textbf{N}=(N_0,N_1,\ldots , N_n)^T\) and \(\textbf{m}=(1,z,\ldots , z^n)^T\), the equation $$\begin{aligned} \textbf{V}\textbf{U}\textbf{N}=\textbf{m} \end{aligned}$$ is the transformations between the basis functions which map monomials
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The $$L^p$$ – $$L^q$$ boundedness and compactness of Fock projections Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-05-10 Shengzhao Hou, Yongqing Liu
In this paper, we completely characterize \(L^p\)–\(L^q\) boundedness and compactness of (maximal) Fock projections on \({\mathbb {C}}^n\) for \(1\le p,q<\infty .\) As applications, we also give \(L^p\)–\(L^q\) boundedness of generalized Fock projections and Berezin transforms.
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The consistency and the general common solution to some quaternion matrix equations Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-05-05 Xi-Le Xu, Qing-Wen Wang
In this paper, we establish some necessary and sufficient conditions for the solvability to a system of five quaternion matrix equations in terms of the Moore–Penrose inverse and the rank of a matrix, and give an expression of the general solution to the system when it is consistent. As an application, we investigate an \(\eta \)-Hermicity solution of a system. Moreover, we present a numerical example
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A spectral quasinilpotent operator and the invariant subspace problem for non-Archimedean Banach spaces Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-05-05 Azzedine El Asri, Mohammed Babahmed
In this paper, we prove that any infinite-dimensional non-Archimedean Banach space of countable type admits a spectral quasinilpotent operator without a nontrivial closed invariant subspace.
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Nuclear bilinear operators on $$X\times c_{0}\left( {\mathcal {Y}}\right) $$ Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-05-05 Dumitru Popa
We give the necessary and sufficient conditions for a bounded bilinear operator on \(X\times c_{0}\left( {\mathcal {Y}}\right) \) to be nuclear. As application, we find the necessary and sufficient conditions for bilinear multiplication operators \(M_{{\mathcal {V}}}:E\left( {\mathcal {X}}\right) \times c_{0}\left( {\mathcal {Y}}\right) \rightarrow F\left( {\mathcal {Z}}\right) \) defined by \(M_{{\mathcal
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Toeplitz operators on weighted Bergman spaces on finitely connected domains Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-04-24 Nihat Gökhan Göğüş, Sinem Yelda Sönmez
We study the weighted Bergman spaces on finitely connected planar domains. They are isomorphic to the product of weighted Bergman spaces on the unit disk. Using this, we characterize the Carleson embeddings and prove kernel estimates. We characterize bounded, compact and Schatten class composition and Toeplitz operators on these spaces. Our results generalize several recent ones in the unit disk or
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Fourth order tensors and covariance tensors Ann. Funct. Anal. (IF 1.0) Pub Date : 2023-04-18 Jinxuan Bai, Jun Wang, Changqing Xu
In this paper, we investigate the invertibility of the fourth-order cubic tensors and present several necessary and sufficient conditions for such tensors to be invertible. We also introduce tensors in statistics and use the fourth-order tensors to simplify the expressions of the higher order derivatives of a multivariate function. Finally, we define the covariance tensor of a random matrix X as a