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Matrix transformations and compact operators on Catalan sequence spaces
Journal of Mathematical Analysis and Applications ( IF 1.3 ) Pub Date : 2021-01-07 , DOI: 10.1016/j.jmaa.2021.124925
Merve İlkhan Kara , Emrah Evren Kara

This paper is devoted to the study of domain of a recently defined conservative matrix in the spaces of p-absolutely summable sequences and bounded sequences. The aforementioned matrix is obtained by using the fascinating Catalan numbers. After determining the β-duals of the newly defined Banach spaces, the characterization of some matrix operators are obtained. Finally, the characterization of certain compact operators is presented by utilizing the Hausdorff measure of non-compactness.



中文翻译:

加泰罗尼亚语序列空间上的矩阵变换和紧致算符

本文致力于研究p绝对可加序列和有界序列空间中最近定义的保守矩阵的域。通过使用引人入胜的加泰罗尼亚数获得上述矩阵。在确定新定义的Banach空间的β对偶之后,获得了一些矩阵算子的特征。最后,利用非紧致性的Hausdorff测度来描述某些紧致算符的特征。

更新日期:2021-01-13
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