A simple counterexample related to the Lie-Trotter product formula

被引：5

作者：

Canzi, Claudia ^{[1
]}

Guerra, Graziano ^{[1
]}

机构：

[1] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, I-20125 Milan, Italy

来源：

SEMIGROUP FORUM | 2012年 / 84卷 / 03期

关键词：

Lie-Trotter product; Linear semigroups of operators; counterexample;

D O I：

10.1007/s00233-011-9326-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note a very simple example is given which shows that if the sum of two semigroup generators is itself a generator, the generated semigroup in general can not be given by the Lie-Trotter product formula.

引用

页码：499 / 504

页数：6

共 8 条

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[8]

Trotter M.F., 1959, P AM MATH SOC, V10, P545, DOI [DOI 10.1090/S0002-9939-1959-0108732-6, 10.1090/S0002-9939-1959-0108732-6]

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