Spectral radius inequalities for operator matrices with commuting entries-Reference-Cited by-同舟云学术

Spectral radius inequalities for operator matrices with commuting entries

Published:2022-03-08 Issue: Volume: Page:
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Kittaneh Fuad

Abstract

We prove a spectral radius inequality for operator matrices with commuting entries. Applications of this inequality to the polynomial eigenvalue problem are also given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/0000-000-00/S0002-9939-2022-15890-0/S0002-9939-2022-15890-0.pdf

Reference32 articles.

1. Numerical radius inequalities for 𝑛×𝑛 operator matrices;Abu-Omar, Amer;Linear Algebra Appl.,2015

2. Notes on some spectral radius and numerical radius inequalities;Abu-Omar, Amer;Studia Math.,2015

3. Hilbert-Schmidt numerical radius inequalities for operator matrices;Aldalabih, Alaa;Linear Algebra Appl.,2019

4. A norm compression inequality for block partitioned positive semidefinite matrices;Audenaert, Koenraad M. R.;Linear Algebra Appl.,2006

5. Norm equalities and inequalities for operator matrices;Bani-Domi, Wathiq;Linear Algebra Appl.,2008

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