The main result of this paper is a description of the space of functions on the unit circle, for which Krein’s trace formula holds for arbitrary pairs of unitary operators with trace class difference. This space coincides with the space of operator Lipschitz functions on the unit circle.

Original languageEnglish
Pages (from-to)167-175
Number of pages9
JournalFunctional Analysis and its Applications
Volume50
Issue number3
DOIs
StatePublished - 1 Jul 2016
Externally publishedYes

    Scopus subject areas

  • Analysis
  • Applied Mathematics

    Research areas

  • double operator integrals, Krein’s trace formula, operator Lipschitz functions, Schur multipliers, spectral shift function

ID: 87315219