Map Ideal of Type the Domain of r-Cesàro Matrix in the Variable Exponent ℓt. and Its Eigenvalue Distributions

In this article, we define a new sequence space generated by the domain of r-Cesàro matrix in Nakano sequence space. Some geometric and topological properties of this sequence space, the multiplication maps defined on it, and the eigenvalue distributions of map ideal with s-numbers that belong to th...

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Main Authors: Awad A. Bakery, OM Kalthum S. K. Mohamed
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/5567628
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author Awad A. Bakery
OM Kalthum S. K. Mohamed
author_facet Awad A. Bakery
OM Kalthum S. K. Mohamed
author_sort Awad A. Bakery
collection DOAJ
description In this article, we define a new sequence space generated by the domain of r-Cesàro matrix in Nakano sequence space. Some geometric and topological properties of this sequence space, the multiplication maps defined on it, and the eigenvalue distributions of map ideal with s-numbers that belong to this sequence space have been examined.
format Article
id doaj-art-536449c91560438e9bbee181e19f1527
institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-536449c91560438e9bbee181e19f15272025-02-03T06:46:14ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55676285567628Map Ideal of Type the Domain of r-Cesàro Matrix in the Variable Exponent ℓt. and Its Eigenvalue DistributionsAwad A. Bakery0OM Kalthum S. K. Mohamed1College of Science and Arts at Khulis, Department of Mathematics, University of Jeddah, Jeddah, Saudi ArabiaCollege of Science and Arts at Khulis, Department of Mathematics, University of Jeddah, Jeddah, Saudi ArabiaIn this article, we define a new sequence space generated by the domain of r-Cesàro matrix in Nakano sequence space. Some geometric and topological properties of this sequence space, the multiplication maps defined on it, and the eigenvalue distributions of map ideal with s-numbers that belong to this sequence space have been examined.http://dx.doi.org/10.1155/2021/5567628
spellingShingle Awad A. Bakery
OM Kalthum S. K. Mohamed
Map Ideal of Type the Domain of r-Cesàro Matrix in the Variable Exponent ℓt. and Its Eigenvalue Distributions
Journal of Function Spaces
title Map Ideal of Type the Domain of r-Cesàro Matrix in the Variable Exponent ℓt. and Its Eigenvalue Distributions
title_full Map Ideal of Type the Domain of r-Cesàro Matrix in the Variable Exponent ℓt. and Its Eigenvalue Distributions
title_fullStr Map Ideal of Type the Domain of r-Cesàro Matrix in the Variable Exponent ℓt. and Its Eigenvalue Distributions
title_full_unstemmed Map Ideal of Type the Domain of r-Cesàro Matrix in the Variable Exponent ℓt. and Its Eigenvalue Distributions
title_short Map Ideal of Type the Domain of r-Cesàro Matrix in the Variable Exponent ℓt. and Its Eigenvalue Distributions
title_sort map ideal of type the domain of r cesaro matrix in the variable exponent lt and its eigenvalue distributions
url http://dx.doi.org/10.1155/2021/5567628
work_keys_str_mv AT awadabakery mapidealoftypethedomainofrcesaromatrixinthevariableexponentltanditseigenvaluedistributions
AT omkalthumskmohamed mapidealoftypethedomainofrcesaromatrixinthevariableexponentltanditseigenvaluedistributions