Norm of Operators on the Generalized Cesàro Matrix Domain

Roopaei in [13] has introduced some factorization for the infinite Hilbert matrix and the Cesàro matrix of order n based on the generalized Cesàro matrix. In this research, we investigate the norm of these two operators on the generalized Cesàro matrix domain. Moreover we introduce some factorizatio...

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Bibliographic Details
Main Author: Maryam Sinaei
Format: Article
Language:English
Published: Emrah Evren KARA 2020-09-01
Series:Communications in Advanced Mathematical Sciences
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/1241941
Description
Summary:Roopaei in [13] has introduced some factorization for the infinite Hilbert matrix and the Cesàro matrix of order n based on the generalized Cesàro matrix. In this research, we investigate the norm of these two operators on the generalized Cesàro matrix domain. Moreover we introduce some factorizations for the Hilbert matrix. Hence the present study is a complement of Roopaei’s research. There are several new Banach spaces who have introduced and studied by using matrix domains of special lower triangular matrices. For more references we encourage the readers to some papers [1, 3, 17, 18] and textbook [2].
ISSN:2651-4001