当前位置: X-MOL 学术Iran. J. Sci. Technol. Trans. Sci. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Riesz Properties of Multiplication of a Pair of g-Sequences
Iranian Journal of Science and Technology, Transactions A: Science ( IF 1.4 ) Pub Date : 2022-06-04 , DOI: 10.1007/s40995-022-01308-3
Abolhassan Fereydooni , Asgar Rahimi

In this article, the properties of completeness, being Riesz, being basis and minimality of a pair of g-sequences \(\Lambda =\{\Lambda _i :\mathcal {H}\longrightarrow \mathcal {H}_i\}_{i \in {\mathbb {I}}}\) and \(\Gamma =\{\Gamma _i :\mathcal {H}\longrightarrow \mathcal {H}_i\}_{i \in {\mathbb {I}}}\) are simultaneously studied as well as investigating the above-mentioned properties about the sequences of subspaces induced by them. We show that the above properties are an extension of the definitions known about a single g-sequence \(\Lambda\). The effect of invertibility of the multiplier operator of sequences \(\Lambda ,\Gamma\) on the above-mentioned properties will be investigated.



中文翻译:

一对g序列相乘的Riesz性质

在本文中,完整性的性质,是 Riesz,是一对g序列的基和极小性\(\Lambda =\{\Lambda _i :\mathcal {H}\longrightarrow \mathcal {H}_i\}_ {i \in {\mathbb {I}}}\)\(\Gamma =\{\Gamma _i :\mathcal {H}\longrightarrow \mathcal {H}_i\}_{i \in {\mathbb { I}}}\)被同时研究并研究了上述关于由它们诱导的子空间序列的属性。我们表明,上述属性是关于单个g序列\(\Lambda\)的已知定义的扩展。序列乘子算子可逆性的影响\(\Lambda ,\Gamma\)将研究上述特性。

更新日期:2022-06-06
down
wechat
bug