Perturbation theory for the socle in Banach algebras

Peng Cao

doi:10.1016/j.jmaa.2018.11.068

Perturbation theory for the socle in Banach algebras

Peng Cao

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

In this paper, we will give a characterization of the socle of a semisimple Banach algebra by perturbation of full spectrum. That is, an element, saying x, lies in the socle if and only if for every element in the Banach algebra, the change under its perturbation (plus x) of full spectrum is finite.

源语言	英语
页（从-至）	1132-1135
页数	4
期刊	Journal of Mathematical Analysis and Applications
卷	472
期	1
DOI	https://doi.org/10.1016/j.jmaa.2018.11.068
出版状态	已出版 - 1 4月 2019

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10.1016/j.jmaa.2018.11.068

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引用此

Cao, P. (2019). Perturbation theory for the socle in Banach algebras. Journal of Mathematical Analysis and Applications, 472(1), 1132-1135. https://doi.org/10.1016/j.jmaa.2018.11.068

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KW - Finite spectrum

KW - Full spectrum

KW - Perturbation theory

KW - Socle

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Perturbation theory for the socle in Banach algebras

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