Invertibility and spectrum localization of non-self-adjoint operators

M. I. Gil'

doi:10.1006/aama.2001.0766

Invertibility and spectrum localization of non-self-adjoint operators

M. I. Gil'

Department of Mathematics

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

8 Scopus citations

Abstract

This paper deals with Volterra perturbations of normal operators in a separable Hilbert space. Invertibility conditions and estimates for the norm of the inverse operators are established. In addition, bounds for the spectrum are suggested. Applications to integral integro-differential, and matrix operators are discussed.

Original language	English
Pages (from-to)	40-58
Number of pages	19
Journal	Advances in Applied Mathematics
Volume	28
Issue number	1
DOIs	https://doi.org/10.1006/aama.2001.0766
State	Published - 1 Jan 2002

Keywords

Infinite matrices
Integral operators
Integrodifferential operators
Invertibility
Linear operators
Spectrum

ASJC Scopus subject areas

Applied Mathematics

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10.1006/aama.2001.0766

Cite this

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title = "Invertibility and spectrum localization of non-self-adjoint operators",

abstract = "This paper deals with Volterra perturbations of normal operators in a separable Hilbert space. Invertibility conditions and estimates for the norm of the inverse operators are established. In addition, bounds for the spectrum are suggested. Applications to integral integro-differential, and matrix operators are discussed.",

keywords = "Infinite matrices, Integral operators, Integrodifferential operators, Invertibility, Linear operators, Spectrum",

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AB - This paper deals with Volterra perturbations of normal operators in a separable Hilbert space. Invertibility conditions and estimates for the norm of the inverse operators are established. In addition, bounds for the spectrum are suggested. Applications to integral integro-differential, and matrix operators are discussed.

KW - Infinite matrices

KW - Integral operators

KW - Integrodifferential operators

KW - Invertibility

KW - Linear operators

KW - Spectrum

UR - https://www.scopus.com/pages/publications/0036127540

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DO - 10.1006/aama.2001.0766

M3 - Article

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Invertibility and spectrum localization of non-self-adjoint operators

Abstract

Keywords

ASJC Scopus subject areas

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