Geodesic
Approximations of self-adjoint \(C_0\)-semigroups in the operator-norm topology
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 73 (2019) no. 2.

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The paper improves approximation theory based on the Trotter–Kato product formulae. For self-adjoint C_0-semigroups we develop a lifting of the strongly convergent Chernoff approximation (or product) formula to convergence in the operator-norm topology. This allows to obtain optimal estimate for the rate of operator-norm convergence of Trotter–Kato product formulae for Kato functions from the class K_2.
Keywords: Strongly continuous semigroup, Chernoff approximation formula, Trotter–Kato product formulae 
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Zagrebnov, Valentin. Approximations of self-adjoint \(C_0\)-semigroups in the operator-norm topology. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 73 (2019) no. 2. http://geodesic.mathdoc.fr/item/AUM_2019_73_2_a3/

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