Distance between Hermitian operators in Schatten classes-Reference-Cited by-同舟云学术

Distance between Hermitian operators in Schatten classes

Published:1996-06 Issue:2 Volume:39 Page:377-380
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Bhatia Rajendra,Šemrl Peter

Abstract

We consider the distance between a fixed Hermitian operator B and the unitary orbit of another Hermitian operator A and show that in each Schatten p-class, 1<p<∞, critical points of this distance function are at operators commuting with B. As a consequence we obtain a perturbation bound for the eigenvalues of Hermitian operators in these Schatten classes.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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