巴拿赫代数的频谱、同态性和劳积乘数

IF 0.7 4区数学 Q2 MATHEMATICS

Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI:10.15672/hujms.1287866

M. Valaei̇, A. Zivari-kazempour

引用次数: 0

摘要

给定巴拿赫代数 $A$、$B$ 和一个连续同态 $\theta:B\longrightarrow A$ 带有 $\Vert\theta\Vert \leq1$，我们得到 $A\times_{\theta}B$ 的谱、同态和乘数的特征，它是 $B$ 由 $A$ 扩展的强分裂巴拿赫代数。此外，我们还描述了这些代数的半简单性。

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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Spectrum,‎ ‎homomorphisms and multipliers of Lau product of Banach algebras

‎Given Banach algebras $A$‎, ‎$B$ and a continuous homomorphism $\theta:B\longrightarrow A$ with $\Vert\theta\Vert \leq1$‎, ‎we obtain characterization of spectrum‎, ‎homomorphisms and multipliers of $A\times_{\theta}B$‎, ‎which is a strongly splitting Banach algebra extension of $B$ by $A$‎. ‎Also we characterize the semisimplicity of these algebras‎.

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来源期刊

Hacettepe Journal of Mathematics and Statistics 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

100

审稿时长

6-12 weeks

期刊介绍： Hacettepe Journal of Mathematics and Statistics covers all aspects of Mathematics and Statistics. Papers on the interface between Mathematics and Statistics are particularly welcome, including applications to Physics, Actuarial Sciences, Finance and Economics. We strongly encourage submissions for Statistics Section including current and important real world examples across a wide range of disciplines. Papers have innovations of statistical methodology are highly welcome. Purely theoretical papers may be considered only if they include popular real world applications.