Spectral Radius Formulas Involving Generalized Aluthge Transform-Reference-Cited by-同舟云学术

Spectral Radius Formulas Involving Generalized Aluthge Transform

Published:2022-03-14 Issue: Volume:2022 Page:1-8
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Zhang Zhiqiang¹^ORCID,Akram Muhammad Saeed²,Hyder Javariya³,Farid Ghulam⁴^ORCID,Yan Tao¹

Affiliation:

1. School of Computer Science, Chengdu University, Chengdu, China

2. Department of Mathematics, Faculty of Science, Ghazi University, 32200 Dera Ghazi Khan, Pakistan

3. Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan

4. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan

Abstract

In this paper, we aim to develop formulas of spectral radius for an operator

S

in terms of generalized Aluthge transform, numerical radius, iterated generalized Aluthge transform, and asymptotic behavior of powers of

S

. These formulas generalize some of the formulas of spectral radius existing in literature. As an application, these formulas are used to obtain several characterizations of normaloid operators.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/3993044.pdf

Reference17 articles.

1. Spectral properties of p-hyponormal operators

2. Aluthge transformations and invariant subspaces of p-hyponormal operators

3. An expression of spectral radius via Aluthge transformation

4. λ-Aluthge Iteration and Spectral Radius

5. λ-Aluthge transforms and Schatten ideals

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On Some Numerical Radius Inequalities Involving Generalized Aluthge Transform;Journal of Function Spaces;2022-09-01