Perturbation bounds for angular sectors of spectra of unbounded operators

Michael Gil’

doi:10.1007/s11565-021-00358-6

Perturbation bounds for angular sectors of spectra of unbounded operators

Michael Gil’

Department of Mathematics

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

1 Scopus citations

Abstract

Let A and A~ be linear unbounded in general operators on 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 sufficiently “close”? Illustrative examples are also presented.

Original language	English
Pages (from-to)	73-81
Number of pages	9
Journal	Annali dell'Universita di Ferrara
Volume	67
Issue number	1
DOIs	https://doi.org/10.1007/s11565-021-00358-6
State	Published - 1 May 2021

Keywords

47A10
47A55
47B10
Hilbert space
Operators
Perturbations
Spectrum

ASJC Scopus subject areas

General Mathematics

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10.1007/s11565-021-00358-6

Cite this

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abstract = "Let A and A\textasciitilde{} be linear unbounded in general operators on 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\textasciitilde{} lies, if A and A\textasciitilde{} are sufficiently “close”? Illustrative examples are also presented.",

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AB - Let A and A~ be linear unbounded in general operators on 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 sufficiently “close”? Illustrative examples are also presented.

KW - 47A10

KW - 47A55

KW - 47B10

KW - Hilbert space

KW - Operators

KW - Perturbations

KW - Spectrum

UR - https://www.scopus.com/pages/publications/85105094923

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M3 - Article

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Perturbation bounds for angular sectors of spectra of unbounded operators

Abstract

Keywords

ASJC Scopus subject areas

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