Operator-norm Trotter product formula on Banach spaces-Reference-Cited by-同舟云学术

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Operator-norm Trotter product formula on Banach spaces

Published:2023 Issue:5 Volume:87 Page:947-971
ISSN:1064-5632
Container-title:Izvestiya: Mathematics
language:en
Short-container-title:Izv. Math.

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

Reference21 articles.

1. Perturbation Theory for Linear Operators

2. One-Parameter Semigroups for Linear Evolution Equations

3. Grundlehren Math. Wiss.;K. Yosida,1980

4. On the product of semi-groups of operators

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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