Bounds for the spectrum of analytic quasinormal operator pencils

M. I. Gil

doi:10.1142/S0219199703000902

Bounds for the spectrum of analytic quasinormal operator pencils

M. I. Gil

Department of Mathematics

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

8 Scopus citations

Abstract

We consider a class of pencils (operator valued functions of a complex argument) in a separable Hubert space. Bounds for the λ-nonlinear spectrum are suggested. Applications to differential operators, integral operators with delay and infinite matrix pencils are also discussed.

Original language	English
Pages (from-to)	101-118
Number of pages	18
Journal	Communications in Contemporary Mathematics
Volume	5
Issue number	1
DOIs	https://doi.org/10.1142/S0219199703000902
State	Published - 1 Feb 2003

Keywords

Infinite matrices
Integral and differential operators
Linear operators
Pencils
Spectrum

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1142/S0219199703000902

Cite this

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title = "Bounds for the spectrum of analytic quasinormal operator pencils",

abstract = "We consider a class of pencils (operator valued functions of a complex argument) in a separable Hubert space. Bounds for the λ-nonlinear spectrum are suggested. Applications to differential operators, integral operators with delay and infinite matrix pencils are also discussed.",

keywords = "Infinite matrices, Integral and differential operators, Linear operators, Pencils, Spectrum",

author = "Gil, {M. I.}",

note = "Funding Information: I am very grateful to the referee for his very helpful remarks. The research of the author was supported by the Israel Ministry of Secience and Technology.",

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PY - 2003/2/1

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N2 - We consider a class of pencils (operator valued functions of a complex argument) in a separable Hubert space. Bounds for the λ-nonlinear spectrum are suggested. Applications to differential operators, integral operators with delay and infinite matrix pencils are also discussed.

AB - We consider a class of pencils (operator valued functions of a complex argument) in a separable Hubert space. Bounds for the λ-nonlinear spectrum are suggested. Applications to differential operators, integral operators with delay and infinite matrix pencils are also discussed.

KW - Infinite matrices

KW - Integral and differential operators

KW - Linear operators

KW - Pencils

KW - Spectrum

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Bounds for the spectrum of analytic quasinormal operator pencils

Abstract

Keywords

ASJC Scopus subject areas

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