Variation of the discrete eigenvalues of normal operators-Reference-Cited by-同舟云学术

Variation of the discrete eigenvalues of normal operators

Published:1995 Issue:8 Volume:123 Page:2511-2517
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Elsner L.,Friedland S.

Abstract

The Hoffman-Wielandt inequality, which gives a bound for the distance between the spectra of two normal matrices, is generalized to normal operators A, B on a separable Hilbert space, such that A − B A - B is Hilbert-Schmidt.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1995-123-08/S0002-9939-1995-1257103-X/S0002-9939-1995-1257103-X.pdf

Reference13 articles.

1. An extension of the Weyl-von Neumann theorem to normal operators;Berg, I. David;Trans. Amer. Math. Soc.,1971

2. A generalization of the Hoffman-Wielandt theorem;Bhatia, Rajendra;Linear Algebra Appl.,1993

3. The Hoffman-Wielandt inequality in infinite dimensions;Bhatia, Rajendra;Proc. Indian Acad. Sci. Math. Sci.,1994

4. A unitary analogue of Kato’s theorem on variation of discrete spectra;Bhatia, Rajendra;Lett. Math. Phys.,1988

5. Improved error bounds for the eigenvalues of certain normal operators;Cochran, James Alan;SIAM J. Numer. Anal.,1972

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