Banach空间上的算子-范数Trotter积公式

IF 0.8 3区数学 Q2 MATHEMATICS

Izvestiya Mathematics Pub Date : 2023-01-01 DOI:10.4213/im9370e

Valentin Anatol'evich Zagrebnov

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引用次数: 0

摘要

Banach空间上算子-范数收敛的Trotter积公式的证明出人意料地复杂，一些已知的结果是基于该公式中至少有一个半群是全纯的假设。本文给出了Banach空间上算子-范数收敛的Trotter积公式的一个例子，其中这个条件被放宽到要求所涉及的半群是可压缩的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Operator-norm Trotter product formula on Banach spaces

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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来源期刊

Izvestiya Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. This publication covers all fields of mathematics, but special attention is given to: Algebra; Mathematical logic; Number theory; Mathematical analysis; Geometry; Topology; Differential equations.