SPECTRUM LOCALIZATION OF A PERTURBED OPERATOR IN A STRIP AND APPLICATIONS

被引：0

作者：

Gil, Michael ^{[1
]}

机构：

[1] Ben Gurion Univ Negev, Dept Math, POB 653, IL-84105 Beer Sheva, Israel

来源：

OPUSCULA MATHEMATICA | 2021年 / 41卷 / 03期

关键词：

operator; spectrum; perturbation; approximation; integral operator; matrix; PERTURBATIONS;

D O I：

10.7494/OpMath.2021.41.3.395

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A and (A) over tilde be bounded operators in a Hilbert space. We consider the following problem: let the spectrum of A lie in some strip. In what strip the spectrum of (A) over tilde lies if A and (A) over tilde are "close"? Applications of the obtained results to integral operators and matrices are also discussed. In addition, we apply our perturbation results to approximate the spectral strip of a Hilbert-Schmidt operator by the spectral strips of finite matrices.

引用

页码：395 / 412

页数：18

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