Perturbation theory for quasinilpotents in Banach algebras

Xin Wang; Peng Cao

doi:10.3390/math8071163

Perturbation theory for quasinilpotents in Banach algebras

Xin Wang, Peng Cao^*

^*此作品的通讯作者

数学学院

Jianghan University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

In this paper, we prove the following result by perturbation technique. If q is a quasinilpotent element of a Banach algebra and spectrum of p + q for any other quasinilpotent p contains at most n values then qⁿ = 0. Applications to C* algebras are given.

源语言	英语
文章编号	1163
期刊	Mathematics
卷	8
期	7
DOI	https://doi.org/10.3390/math8071163
出版状态	已出版 - 7月 2020

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10.3390/math8071163

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Wang, X., & Cao, P. (2020). Perturbation theory for quasinilpotents in Banach algebras. Mathematics, 8(7), 文章 1163. https://doi.org/10.3390/math8071163

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Perturbation theory for quasinilpotents in Banach algebras

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