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Cesàro Spaces and Norm of Operators on These Matrix Domains
Mediterranean Journal of Mathematics ( IF 1.1 ) Pub Date : 2020-06-27 , DOI: 10.1007/s00009-020-01557-9
H. Roopaei , D. Foroutannia , M. İlkhan , E. E. Kara

In this paper, we investigate some properties of the domain of the Cesàro matrix of order n and compute Köthe dual of this space. Moreover, we compute the norm of well-known operators such as Hilbert, Hausdorff, backward difference and weighted mean operators on this new sequence space.

中文翻译:

这些矩阵域上的Cesàro空间和算子范数

在本文中,我们研究了n阶Cesàro矩阵的域的某些性质,并计算了该空间的Köthe对偶。此外,我们在这个新的序列空间上计算了著名的算子(例如Hilbert,Hausdorff,后向差分和加权均值算子)的范数。
更新日期:2020-06-27
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