Commutativity Theorems and Projection on the Center of a Banach Algebra

Moumen, Mohamed; Taoufiq, Lahcen

doi:10.2478/tmmp-2023-0009

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Commutativity Theorems and Projection on the Center of a Banach Algebra

Tatra Mountains Mathematical Publications

Volume 83 (2023): Issue 1 (February 2023)

By: Mohamed Moumen and Lahcen Taoufiq

Open Access

|Mar 2023

Abstract

Let 𝑥 be a Banach algebra. In this article, on the one hand, we proved some results concerning the continuous projection from 𝑥 to its center. On the other hand, we investigate the commutativity of 𝑥 under specific conditions. Finally, we included some examples and applications to prove that various restrictions in the hypotheses of our theorems are necessary.

References

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DOI: https://doi.org/10.2478/tmmp-2023-0009 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195

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Language: English

Page range: 119 - 130

Published on: Mar 7, 2023

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

prime Banach algebras,

Related subjects:

© 2023 Mohamed Moumen, Lahcen Taoufiq, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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