Abstract
We show that for a certain class of Kato functions the Trotter–Kato product formulae converge in symmetrically-normed ideals of compact operators on a separable Hilbert space. The rate of convergence in topology of ideals inherits the error-bound estimate for the corresponding operator-norm convergence.
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ACKNOWLEDGMENTS
This article was motivated by my lecture: Trotter–Kato Product Formulae for Gibbs Semigroups. The lecture was presented at International Bogolyubov Conference “Problems of Theoretical and Mathematical Physics” (9–13 September, 2019) in the Steklov Mathematical Institute, Moscow/
I am very grateful to organisers for invitation and for warm hospitality.
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Zagrebnov, V.A. Trotter–Kato Product Formulae in Normed Ideals. Phys. Part. Nuclei 51, 419–423 (2020). https://doi.org/10.1134/S1063779620040784
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DOI: https://doi.org/10.1134/S1063779620040784