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.
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页码：947 / 971
页数：25
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