Annals of Functional Analysis

On inequalities involving eigenvalues and traces of Hermitian matrices

Shalini Garga, Ravinder Kumar, and Rajesh Sharma

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It is shown that some immediate consequences of the spectral theorem provide refinements and extensions of the several well-known inequalities involving eigenvalues and traces of Hermitian matrices. We obtain bounds for the spread and condition number of a Hermitian matrix.

Article information

Ann. Funct. Anal., Volume 6, Number 2 (2015), 78-90.

First available in Project Euclid: 19 December 2014

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 15A42: Inequalities involving eigenvalues and eigenvectors
Secondary: 47A63: Operator inequalities

Trace eigenvalue spread condition number Kantorovich inequality


Sharma, Rajesh; Kumar, Ravinder; Garga, Shalini. On inequalities involving eigenvalues and traces of Hermitian matrices. Ann. Funct. Anal. 6 (2015), no. 2, 78--90. doi:10.15352/afa/06-2-8.

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