Non-self-adjoint operators and pseudospectra

被引：0
|
作者：
Davies, E. B. [1 ]
机构：
[1] Kings Coll London, Dept Math, London WC2R 2LS, England
来源：
Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday: QUANTUM FIELD THEORY, STATISTICAL MECHANICS, AND NONRELATIVISTIC QUANTUM SYSTEMS | 2007年 / 76卷
关键词：
non-self-adjoint operators; spectrum; pseudospectra; numerical range; orthogonal polynomials;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The theory of pseudospectra has grown rapidly since its emergence from within numerical analysis around 1990. We describe some of its applications to the stability theory of differential operators, to WKB analysis and even to orthogonal polynomials. Although currently more a way of looking at non-self-adjoint operators than a list of theorems, its future seems to be assured by the growing number of problems in which the ideas are clearly of relevance.
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页码：141 / 151
页数：11
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