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Norm estimates for functions of a Hilbert–Schmidt operator nonregular on the convex hull of the spectrum

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Abstract

Functions of a Hilbert–Schmidt operator nonregular on the convex hull of the spectrum are considered. The logarithm, fractional powers and meromorphic functions of operators are examples of such functions. In the paper, sharp norm estimates are established for the considered operator functions.

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Authors and Affiliations

  1. Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, 84105, Beersheba, Israel

    Michael Gil’

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  1. Michael Gil’
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Correspondence to Michael Gil’.

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Gil’, M. Norm estimates for functions of a Hilbert–Schmidt operator nonregular on the convex hull of the spectrum. J Anal 26, 39–48 (2018). https://doi.org/10.1007/s41478-017-0066-1

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  • DOI: https://doi.org/10.1007/s41478-017-0066-1

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