Weighted Composition Operators of Topological Structure on Weighted Banach Spaces

We follow the validity that [24] dealt with considering the topological structure problem concerning the set of composition operators restricted and differ by a compact operator is known as path connected but alternatively not usually a component. So for weighted both of composition operators on Banach spaces endowed with supnorm the set of weighted composition operators is really path connected but in the second is not a component.

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Publication Details

Journal
Journal of research in applied mathematics.
Published
2025-05-01
DOI
https://doi.org/10.35629/0743-11052538
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
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article

Weighted Composition Operators of Topological Structure on Weighted Banach Spaces

Shawgy Hussein, Rania Elzuber
Journal of research in applied mathematics.
Advanced Banach Space Theory
article

Weighted Composition Operators of Topological Structure on Weighted Banach Spaces

Shawgy Hussein, Rania Elzuber
article en

Abstract

We follow the validity that [24] dealt with considering the topological structure problem concerning the set of composition operators restricted and differ by a compact operator is known as path connected but alternatively not usually a component. So for weighted both of composition operators on Banach spaces endowed with supnorm the set of weighted composition operators is really path connected but in the second is not a component.

Journal of research in applied mathematics.Vol. 11(5)
Openalex Percentile: Top 80%
Advanced Banach Space Theory
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Weighted Composition Operators of Topological Structure on Weighted Banach Spaces — Shawgy Hussein, Rania Elzuber · Journal of research in applied mathematics. (2025) | TGRS Research Map | TGRS