Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Ascent, descent, and commuting perturbations


Authors: M. A. Kaashoek and D. C. Lay
Journal: Trans. Amer. Math. Soc. 169 (1972), 35-47
MSC: Primary 47A55
MathSciNet review: 0312299
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 47A55

Retrieve articles in all journals with MSC: 47A55


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1972-0312299-8
PII: S 0002-9947(1972)0312299-8
Keywords: Ascent, descent, finite-dimensional perturbations, compact perturbations, Riesz operators, Browder essential spectrum, commuting operators
Article copyright: © Copyright 1972 American Mathematical Society