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Perturbations of Functions of Operators in a Banach Space

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Abstract

We consider an analytic function f of bounded operators A and \(\tilde A\) represented by infinite matrices in a Banach space with a Schauder basis. Sharp inequalities for the norm of \(f(A)-f(\tilde A)\) are established. Applications to differential equations are also discussed.

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Authors and Affiliations

  1. Department of Mathematics, Ben Gurion University of the Negev, P.0. Box 653, Beer-Sheva, 84105, Israel

    Michael I. Gil’

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  1. Michael I. Gil’
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Correspondence to Michael I. Gil’.

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This research was supported by the Kamea Fund of Israel.

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Gil’, M.I. Perturbations of Functions of Operators in a Banach Space. Math Phys Anal Geom 13, 69–82 (2010). https://doi.org/10.1007/s11040-009-9069-8

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  • DOI: https://doi.org/10.1007/s11040-009-9069-8

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