Estimates For Fractional Powers And Logarithm Of Operators With Hilbert-Schmidt Resolvents And Perturbation Results

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1 Scopus citations

Abstract

Let A be a closed operator on a separable Hilbert space with the spectrum in the open right half-plane and a bounded Hermitian component, and let the resolvent of A be a Hilbert-Schmidt operator. The paper deals with the function (formula presented) where µ is a nondecreasing function and I is the unit operator. We establish norm estimates and perturbations results for hµ(A). As particular cases the fractional powers and logarithm of A are considered.

Original languageEnglish
Pages (from-to)607-620
Number of pages14
JournalInternational Journal of Applied Mathematics
Volume34
Issue number4
DOIs
StatePublished - 1 Jan 2021

Keywords

  • Hilbert space
  • fractional power of operators
  • operator logarithm Hirsch type functions
  • perturbations

ASJC Scopus subject areas

  • General Mathematics
  • Computational Theory and Mathematics

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