Product formulae for Gibbs semigroups
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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