ORIGINAL ARTICLES

Acta Mathematica Sinica

, Volume 19, Issue 2, pp 313-326

First online:

On Bounds for Spectra of Operator Pencils in a Hilbert Space

  • Michael Iosif Gil'Affiliated withDepartment of Mathematics, Ben Gurion University of the Negev Email author 

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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

Linear operators Pencils Spectrum Integral and differential operators Infinite matrices

MR (2000) Subject Classification

47A55 47A75 47G10 47G20