Journal of Applied Mathematics and Stochastic Analysis
Volume 12 (1999), Issue 1, Pages 31-33
doi:10.1155/S1048953399000040
Generic stability of the spectra for bounded linear operators on Banach spaces
Guizhou Normal University, Department of Mathematics, Guiyang 550001, China
Received 1 January 1997; Revised 1 August 1998
Copyright © 1999 Luo Qun. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this paper, we study the stability of the spectra of bounded linear
operators B(X) in a Banach space X, and obtain that their spectra are
stable on a dense residual subset of B(X).