Matrix Mappings on the Domains of Invertible Matrices
We focus on sequence spaces which are matrix domains of Banach sequence spaces. We show that the characterization of a random matrix operator , where and are matrix domains with invertible matrices and , can be reduced to the characterization of the operator . As an application, the necessary and...
Saved in:
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2013-01-01
|
Series: | Journal of Function Spaces and Applications |
Online Access: | http://dx.doi.org/10.1155/2013/820930 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
_version_ | 1832563766053568512 |
---|---|
author | Muhammed Altun |
author_facet | Muhammed Altun |
author_sort | Muhammed Altun |
collection | DOAJ |
description | We focus on sequence spaces which are matrix domains of Banach sequence spaces. We show that the characterization of a random matrix operator , where and are matrix domains with invertible matrices and , can be reduced to the characterization of the operator . As an application, the necessary and sufficient conditions for the matrix operators between invertible matrix domains of the classical sequence spaces and norms of these operators are given. |
format | Article |
id | doaj-art-3c98a52a1c3f40bf8c832195d6d4830e |
institution | Kabale University |
issn | 0972-6802 1758-4965 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Function Spaces and Applications |
spelling | doaj-art-3c98a52a1c3f40bf8c832195d6d4830e2025-02-03T01:12:37ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/820930820930Matrix Mappings on the Domains of Invertible MatricesMuhammed Altun0Faculty of Arts and Sciences, Melikşah University, 38280 Kayseri, TurkeyWe focus on sequence spaces which are matrix domains of Banach sequence spaces. We show that the characterization of a random matrix operator , where and are matrix domains with invertible matrices and , can be reduced to the characterization of the operator . As an application, the necessary and sufficient conditions for the matrix operators between invertible matrix domains of the classical sequence spaces and norms of these operators are given.http://dx.doi.org/10.1155/2013/820930 |
spellingShingle | Muhammed Altun Matrix Mappings on the Domains of Invertible Matrices Journal of Function Spaces and Applications |
title | Matrix Mappings on the Domains of Invertible Matrices |
title_full | Matrix Mappings on the Domains of Invertible Matrices |
title_fullStr | Matrix Mappings on the Domains of Invertible Matrices |
title_full_unstemmed | Matrix Mappings on the Domains of Invertible Matrices |
title_short | Matrix Mappings on the Domains of Invertible Matrices |
title_sort | matrix mappings on the domains of invertible matrices |
url | http://dx.doi.org/10.1155/2013/820930 |
work_keys_str_mv | AT muhammedaltun matrixmappingsonthedomainsofinvertiblematrices |