Numerical range and positive block matrices

2020/04/16 by Bourin, Jean Christophe, Lee, Eun-Young
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2004.07533

Abstract

We obtain several norm and eigenvalue inequalities for positive matrices partitioned into four blocks. The results involve the numerical range of the off-diagonal block X, especially the distance from 0 to W(X).

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