Perturbations of Polynomials with Operator Coefficients

Michael Gil

doi:10.1155/2013/801382

Perturbations of Polynomials with Operator Coefficients

Michael Gil

Department of Mathematics

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

1 Scopus citations

Abstract

We consider polynomials whose coefficients are operators belonging to the Schatten-von Neumann ideals of compact operators in a Hilbert space. Bounds for the spectra of perturbed pencils are established. Applications to differential and difference equations are also discussed.

Original language	English
Article number	801382
Journal	Journal of Complex Analysis
Volume	2013
DOIs	https://doi.org/10.1155/2013/801382
State	Published - 1 Jan 2013

ASJC Scopus subject areas

Analysis

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abstract = "We consider polynomials whose coefficients are operators belonging to the Schatten-von Neumann ideals of compact operators in a Hilbert space. Bounds for the spectra of perturbed pencils are established. Applications to differential and difference equations are also discussed.",

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AB - We consider polynomials whose coefficients are operators belonging to the Schatten-von Neumann ideals of compact operators in a Hilbert space. Bounds for the spectra of perturbed pencils are established. Applications to differential and difference equations are also discussed.

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Perturbations of Polynomials with Operator Coefficients

Abstract

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