Operator-norm Trotter product formula on Banach spaces

被引：0

作者：

Zagrebnov, V. A. ^{[1
,2
]}

机构：

[1] Univ Aix Marseille, Inst Math Marseille, CNRS, Marseille, France

[2] CMI Technopole Chateau Gombert, Marseille, France

来源：

IZVESTIYA MATHEMATICS | 2023年 / 87卷 / 05期

关键词：

semigroup theory; Trotter product formula; operator-norm convergence; Banach spaces; CONVERGENCE; SCATTERING;

D O I：

10.4213/im9370e

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：947 / 971

页数：25

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