Product formulae for Gibbs semigroups

  • Valentin A. Zagrebnov
Part of the Operator Theory: Advances and Applications book series (OT, volume 273)


A wealth of results in the literature deal with the Lie-Trotter and Trotter-Kato product approximations for strongly continuous semigroups in the strong operator topology. However, it has been known since a long time that for the Gibbs semigroups the Trotter-Kato product formulae converges also in the trace-norm topology, see Notes in Section 5.6 and comments in Appendix D.4.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Valentin A. Zagrebnov
    • 1
  1. 1.Université d’Aix-MarseilleInstitut de Mathématiques de MarseilleMarseilleFrance

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