On angular localization of spectra of perturbed operators

M. I. Gil

doi:10.17398/2605-5686.35.2.197

On angular localization of spectra of perturbed operators

M. I. Gil

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Let A and A- be bounded operators in a Hilbert space. We consider the following problem: let the spectrum of A lie in some angular sector. In what sector the spectrum of A- lies if A and A- are \close"? Applications of the obtained results to integral operators are also discussed.

Original language	English
Pages (from-to)	197-204
Number of pages	8
Journal	Extracta mathematicae
Volume	35
Issue number	2
DOIs	https://doi.org/10.17398/2605-5686.35.2.197
State	Published - 1 Jan 2020

Keywords

Operators
angular location
integral operator
perturbations
spectrum

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Mathematics (miscellaneous)
Geometry and Topology

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10.17398/2605-5686.35.2.197

Cite this

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title = "On angular localization of spectra of perturbed operators",

abstract = "Let A and A- be bounded operators in a Hilbert space. We consider the following problem: let the spectrum of A lie in some angular sector. In what sector the spectrum of A- lies if A and A- are \textbackslash{}close{"}? Applications of the obtained results to integral operators are also discussed.",

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year = "2020",

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AU - Gil, M. I.

PY - 2020/1/1

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N2 - Let A and A- be bounded operators in a Hilbert space. We consider the following problem: let the spectrum of A lie in some angular sector. In what sector the spectrum of A- lies if A and A- are \close"? Applications of the obtained results to integral operators are also discussed.

AB - Let A and A- be bounded operators in a Hilbert space. We consider the following problem: let the spectrum of A lie in some angular sector. In what sector the spectrum of A- lies if A and A- are \close"? Applications of the obtained results to integral operators are also discussed.

KW - Operators

KW - angular location

KW - integral operator

KW - perturbations

KW - spectrum

UR - https://www.scopus.com/pages/publications/85105030721

U2 - 10.17398/2605-5686.35.2.197

DO - 10.17398/2605-5686.35.2.197

M3 - Article

AN - SCOPUS:85105030721

SN - 0213-8743

VL - 35

SP - 197

EP - 204

JO - Extracta mathematicae

JF - Extracta mathematicae

IS - 2

ER -

On angular localization of spectra of perturbed operators

Abstract

Keywords

ASJC Scopus subject areas

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