Trotter's product formula for projections

被引：18

作者：

Matolcsi, M

Shvidkoy, R

机构：

[1] Hungarian Acad Sci, Alfred Renyi Inst Math, H-1364 Budapest, Hungary

[2] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

ARCHIV DER MATHEMATIK | 2003年 / 81卷 / 03期

基金：

美国国家科学基金会;

关键词：

47A05; 47A07; 47D05;

D O I：

10.1007/s00013-003-0537-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to examine the convergence of Trotter's product formula when one of the C-0-semigroups is replaced by a projection (which can always be regarded as a constant degenerate semigroup). The motivaton to study Trotter's formula in this setting arises from the fact that for 'nice' open sets Omega subset of R-11 the Co-semigroup on L-2(Omega) generated by the Laplacian with Dirichlet boundary conditions can be obtained as a limit of a formula of this type.

引用

页码：309 / 317

页数：9

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