Ascent, descent, and commuting perturbations-Reference-Cited by-同舟云学术

Ascent, descent, and commuting perturbations

Published:1972 Issue:0 Volume:169 Page:35-47
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Kaashoek M. A.,Lay D. C.

Abstract

In the present paper we investigate the stability of the ascent and descent of a linear operator T T when T T is subjected to a perturbation by a linear operator C C which commutes with T T . The domains and ranges of T T and C C lie in some linear space X X . The results are used to characterize the Browder essential spectrum of T T . We conclude with a number of remarks concerning the notion of commutativity used in the present paper.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1972-169-00/S0002-9947-1972-0312299-8/S0002-9947-1972-0312299-8.pdf

Reference17 articles.

1. On the spectral theory of elliptic differential operators. I;Browder, Felix E.;Math. Ann.,1960

2. Commutation properties of operator polynomials;Caradus, S. R.;J. Austral. Math. Soc.,1971

3. The basic propositions on defect numbers, root numbers and indices of linear operators;Gohberg, I. C.;Amer. Math. Soc. Transl. (2),1960

4. On the essential spectrum;Gustafson, K.;J. Math. Anal. Appl.,1969

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