Perturbations of Polynomials with Operator Coefficients

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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.

Original languageEnglish
Article number801382
JournalJournal of Complex Analysis
Volume2013
DOIs
StatePublished - 1 Jan 2013

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