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On Bounds for Spectra of Operator Pencils in a Hilbert Space
Authors:Email author" target="_blank">Michael?Iosif?Gil'Email author
Institution:(1) Department of Mathematics, Ben Gurion University of the Negev, 653, Beer-Sheva 84105, Israel
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. This research is supported by the Israel Ministry of Science and Technology
Keywords:Linear operators  Pencils  Spectrum  Integral and differential operators  Infinite matrices
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