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.

Original languageEnglish
Pages (from-to)39-48
Number of pages10
JournalJournal of Analysis
Volume26
Issue number1
DOIs
StatePublished - 1 Jun 2018

Keywords

  • 15A45
  • 15A60
  • 47A56
  • 47A60
  • 47A63
  • 47B10
  • Fractional powers
  • Hilbert–Schmidt operators
  • Logarithm
  • Mathematics Subject Classification
  • Meromorphic functions
  • Operator-valued function

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