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...

Full description

Saved in:
Bibliographic Details
Main Author: Muhammed Altun
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