On the Weyl spectrum of a Hilbert space operator-Reference-Cited by-同舟云学术

On the Weyl spectrum of a Hilbert space operator

Published:1972 Issue:2 Volume:34 Page:447-452
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Baxley John V.

Abstract

Using the perturbation definition of the Weyl spectrum, conditions are given on a closed (possibly unbounded) linear operator T in a Hilbert space which allow the Weyl spectrum to be characterized as a subset of the spectrum of T.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1972-034-02/S0002-9939-1972-0298444-7/S0002-9939-1972-0298444-7.pdf

Reference10 articles.

1. Some general conditions implying Weyl’s theorem;Baxley, John V.;Rev. Roumaine Math. Pures Appl.,1971

2. An extension of Weyl’s theorem to a class of not necessarily normal operators;Berberian, S. K.;Michigan Math. J.,1969

3. Essential spectrum for a Hilbert space operator;Bouldin, Richard;Trans. Amer. Math. Soc.,1972

4. The Weyl essential spectrum;Bouldin, Richard;Proc. Amer. Math. Soc.,1971

5. Weyl’s theorem for nonnormal operators;Coburn, L. A.;Michigan Math. J.,1966

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A representation of hyponormal absolutely norm attaining operators;Bulletin des Sciences Mathématiques;2021-10

2. Weyl’s theorem for paranormal closed operators;Annals of Functional Analysis;2019-12-04

3. Weyl's theorem holds for p-hyponormal operators;Glasgow Mathematical Journal;1997-05

4. Weyl’s theorem and thin spectra;Proceedings of the Indian Academy of Sciences - Section A;1982-01