The Spectrum of Mapping Ideals of Type Variable Exponent Function Space of Complex Variables with Some Applications

The topological and geometric behaviors of the variable exponent formal power series space, as well as the prequasi-ideal construction by s-numbers and this function space of complex variables, are investigated in this article. Upper bounds for s-numbers of infinite series of the weighted nth power...

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Main Authors: Awad A. Bakery, Mustafa M. Mohammed
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/3526217
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author Awad A. Bakery
Mustafa M. Mohammed
author_facet Awad A. Bakery
Mustafa M. Mohammed
author_sort Awad A. Bakery
collection DOAJ
description The topological and geometric behaviors of the variable exponent formal power series space, as well as the prequasi-ideal construction by s-numbers and this function space of complex variables, are investigated in this article. Upper bounds for s-numbers of infinite series of the weighted nth power forward and backward shift operator on this function space are being investigated, with applications to some entire functions.
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institution Kabale University
issn 2314-8888
language English
publishDate 2021-01-01
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series Journal of Function Spaces
spelling doaj-art-4af7e47e83b04a599ec9bb668669d7202025-02-03T05:49:28ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/3526217The Spectrum of Mapping Ideals of Type Variable Exponent Function Space of Complex Variables with Some ApplicationsAwad A. Bakery0Mustafa M. Mohammed1Department of MathematicsDepartment of MathematicsThe topological and geometric behaviors of the variable exponent formal power series space, as well as the prequasi-ideal construction by s-numbers and this function space of complex variables, are investigated in this article. Upper bounds for s-numbers of infinite series of the weighted nth power forward and backward shift operator on this function space are being investigated, with applications to some entire functions.http://dx.doi.org/10.1155/2021/3526217
spellingShingle Awad A. Bakery
Mustafa M. Mohammed
The Spectrum of Mapping Ideals of Type Variable Exponent Function Space of Complex Variables with Some Applications
Journal of Function Spaces
title The Spectrum of Mapping Ideals of Type Variable Exponent Function Space of Complex Variables with Some Applications
title_full The Spectrum of Mapping Ideals of Type Variable Exponent Function Space of Complex Variables with Some Applications
title_fullStr The Spectrum of Mapping Ideals of Type Variable Exponent Function Space of Complex Variables with Some Applications
title_full_unstemmed The Spectrum of Mapping Ideals of Type Variable Exponent Function Space of Complex Variables with Some Applications
title_short The Spectrum of Mapping Ideals of Type Variable Exponent Function Space of Complex Variables with Some Applications
title_sort spectrum of mapping ideals of type variable exponent function space of complex variables with some applications
url http://dx.doi.org/10.1155/2021/3526217
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