Spectral theory of B-Weyl elements and the generalized Weyl's theorem in primitive C*-algebra

被引：0

作者：

Kong, Yingying ^{[1
]}

Ren, Yanxun ^{[1
]}

Jiang, Lining ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Math & Stat, Beijing, Peoples R China

来源：

TURKISH JOURNAL OF MATHEMATICS | 2022年

基金：

中国国家自然科学基金;

关键词：

Primitive C*-algebra; B-Browder elements; socle; the generalized Weyl's theorem; perturbation; FREDHOLM ELEMENTS; BANACH ALGEBRA; INDEX;

D O I：

10.3906/mat-2111-24

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a unital primitive C*-algebra. This paper studies the spectral theories of B-Weyl elements and B-Browder elements in A, including the spectral mapping theorem and a characterization of B-Weyl spectrum. In addition, we characterize the generalized Weyl's theorem and the generalized Browder's theorem for an element a is an element of A and f(a), where f is a complex-valued function analytic on a neighborhood of sigma(a). What's more, the perturbations of the generalized Weyl's theorem under the socle of A and quasinilpotent element are illustrated.

引用

页数：18

共 48 条

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[48] B-Weyl and Drazin invertible operators linked by weak pseudo S0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_0$$\end{document}-demicompactness
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