B-Fredholm elements in primitive C*-algebras-Reference-Cited by-同舟云学术

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B-Fredholm elements in primitive C*-algebras

Published:2022-01-01 Issue:1 Volume:20 Page:1394-1406
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Kong Yingying¹,Jiang Lining²

Affiliation:

1. School of Mathematics and Statistics, Huanghuai University , Zhumadian , 463000 , China

2. School of Mathematics and Statistics, Beijing Institute of Technology , Beijing , 100081 , China

Abstract

Abstract Let

{\mathcal{A}}

be a unital primitive C

∗

\ast

-algebra. This article studies the properties of the B-Fredholm elements, the B-Weyl elements and the B-Browder elements in

{\mathcal{A}}

. Particularly, this article describes the B-Fredholm element as the sum of a Fredholm element and a nilpotent element. In addition, the socle of

{\mathcal{A}}

is characterized by the B-Fredholm elements.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0511/pdf

Reference36 articles.

1. E. Aponte, J. Sanabria, and L. Vásquez, Perturbation theory for property (VE) and tensor product, Mathematics 9 (2021), 2775.

2. P. Aiena, Fredholm and Local Spectral Theory, with Applications to Multipliers, Kluwer Academic Publishers, New York, 2004.

3. P. Aiena, Fredholm and Local Spectral Theory II, with Application to Weyl-type Theorems, Springer Lecture Notes of Math no. 2235, 2018.

4. M. Berkani, On a class of quasi-Fredholm operators, Integral Equ. Operator Theory 34 (1999), no. 2, 244–249.

5. M. Berkani, Index of B-Fredholm operators and generalization of a Weyl theorem, Proc. Amer. Math. Soc. 130 (2001), no. 6, 1717–1723.

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