Operator-norm Trotter product formula on Banach spaces

Author:

Zagrebnov Valentin Anatol'evich123

Affiliation:

1. Universite d'Aix-Marseille - CNRS

2. CMI - Technopole Chateau-Gombert, Marseille, France

3. Institut de Mathematiques de Marseille

Abstract

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.

Publisher

Steklov Mathematical Institute

Subject

General Mathematics

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5. Operator-norm convergence of the Trotter product formula for holomorphic semigroups;V. Cachia and V. A. Zagrebnov;J. Operator Theory,2001

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