Banach代数中心上的交换性定理和投影

Q4 Mathematics

Tatra Mountains Mathematical Publications Pub Date : 2023-02-01 DOI:10.2478/tmmp-2023-0009

Mohamed Moumen, L. Taoufiq

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引用次数: 0

摘要

设为一个Banach代数。在本文中，一方面，我们证明了一些关于从点到中心的连续投影的结果。另一方面，我们研究了在特定条件下的交换性。最后，我们给出了一些例子和应用来证明定理假设中的各种限制是必要的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Commutativity Theorems and Projection on the Center of a Banach Algebra

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.

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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量