A weighted mean Hausdorff type operator and its summability matrix domain

In this research, we firstly introduce a criterion for factorizing an operator based on the gamma operator, and as a result we present two factorizations for the Cesàro and Hilbert operators. As another point of view, we study some properties of the matrix domain associated with the gamma matrix of...

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Bibliographic Details
Published in:Journal of inequalities and applications 2022-02, Vol.2022 (1), p.1-16, Article 27
Main Authors: Kara, Merve İlkhan, Roopaei, Hadi
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Cesàro matrix
Domains
Gamma matrix
Hausdorff matrix
Hilbert matrix
Mathematics
Mathematics and Statistics
Operators
Sequence space
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Summary:In this research, we firstly introduce a criterion for factorizing an operator based on the gamma operator, and as a result we present two factorizations for the Cesàro and Hilbert operators. As another point of view, we study some properties of the matrix domain associated with the gamma matrix of order n and compute the duals of this space. Moreover, we compute the norm of well-known operators into, from, and on the gamma sequence space.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-022-02760-w