On Bounds for Spectra of Operator Pencils in a Hilbert Space

Michael Iosif Gil

doi:10.1007/s10114-002-0225-3

On Bounds for Spectra of Operator Pencils in a Hilbert Space

Michael Iosif Gil

Department of Mathematics

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

6 Scopus citations

Abstract

A class of pencils (operator-valued functions of a complex argument) in a separable Hilbert space is considered. Bounds for the spectra are derived. Applications to differential operators, integral operators with delay and infinite matrix pencils are discussed.

Original language	English
Pages (from-to)	313-326
Number of pages	14
Journal	Acta Mathematica Sinica, English Series
Volume	19
Issue number	2
DOIs	https://doi.org/10.1007/s10114-002-0225-3
State	Published - 1 Jan 2003

Keywords

Infinite matrices
Integral and differential operators
Linear operators
Pencils
Spectrum

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1007/s10114-002-0225-3

Cite this

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title = "On Bounds for Spectra of Operator Pencils in a Hilbert Space",

abstract = "A class of pencils (operator-valued functions of a complex argument) in a separable Hilbert space is considered. Bounds for the spectra are derived. Applications to differential operators, integral operators with delay and infinite matrix pencils are discussed.",

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

author = "Gil, {Michael Iosif}",

note = "Funding Information: Received July 12, 2001, Revised May 10, 2002, Accepted June 28, 2002 This research is supported by the Israel Ministry of Science and Technology",

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PY - 2003/1/1

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N2 - A class of pencils (operator-valued functions of a complex argument) in a separable Hilbert space is considered. Bounds for the spectra are derived. Applications to differential operators, integral operators with delay and infinite matrix pencils are discussed.

AB - A class of pencils (operator-valued functions of a complex argument) in a separable Hilbert space is considered. Bounds for the spectra are derived. Applications to differential operators, integral operators with delay and infinite matrix pencils are discussed.

KW - Infinite matrices

KW - Integral and differential operators

KW - Linear operators

KW - Pencils

KW - Spectrum

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On Bounds for Spectra of Operator Pencils in a Hilbert Space

Abstract

Keywords

ASJC Scopus subject areas

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