Generalized spectral radius and norm inequalities for Hilbert space operators-Reference-Cited by-同舟云学术

Generalized spectral radius and norm inequalities for Hilbert space operators

Published:2015-11 Issue:12 Volume:26 Page:1550097
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Abu-Omar Amer¹,Kittaneh Fuad¹

Affiliation:

1. Department of Mathematics, The University of Jordan, Amman, Jordan

Abstract

We apply spectral radius and norm inequalities to certain [Formula: see text] operator matrices to give simple proofs, refinements and generalizations of known norm inequalities. New norm inequalities are also given. Our analysis uncovers the interplay between different spectral radius and norm inequalities.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X15500974

Reference20 articles.

1. A numerical radius inequality involving the generalized Aluthge transform

2. Numerical radius inequalities for n×n operator matrices

3. Matrix Analysis

4. The matrix arithmetic–geometric mean inequality revisited

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