On (N, ε)-pseudospectra of operators on Banach spaces

被引：15
|
作者：
Seidel, Markus [1 ]
机构：
[1] Tech Univ Chemnitz, D-08126 Chemnitz, Germany
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2012年 / 262卷 / 11期
关键词：
Spectrum; Pseudospectrum; Banach space; Quasi-diagonal operator; THEOREM; SPECTRA; NORM;
D O I：
10.1016/j.jfa.2012.03.019
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we extend the concept of the (N, epsilon)-pseudospectra of Hansen to the case of bounded linear operators on Banach spaces and prove several relations to the usual spectrum. We particularly discuss the approximation by rectangular finite sections and the impact of the fundamental result of Shargorodsky on "jumping" pseudospectra. (C) 2012 Elsevier Inc. All rights reserved.
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页码：4916 / 4927
页数：12
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