Geodesic
Operator-norm Trotter product formula on Banach spaces
Izvestiya. Mathematics , Tome 87 (2023) no. 5, pp. 947-971

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Proof of the operator-norm convergent Trotter product formula on a Banach space is unexpectedly elaborate and a few of known results are based on assumption that at least one of the semigroups involved into this formula is holomorphic. Here we present an example of the operator-norm convergent Trotter product formula on a Banach space, where this condition is relaxed to demand that involved semigroups are contractive.
Keywords: semigroup theory, operator-norm convergence, Banach spaces.
Mots-clés : Trotter product formula 
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     author = {V. A. Zagrebnov},
     title = {Operator-norm {Trotter} product formula on {Banach} spaces},
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V. A. Zagrebnov. Operator-norm Trotter product formula on Banach spaces. Izvestiya. Mathematics , Tome 87 (2023) no. 5, pp. 947-971. http://geodesic.mathdoc.fr/item/IM2_2023_87_5_a6/