On the infinite product of operators in Hilbert space

被引：4

作者：

Mate, L ^{[1
]}

机构：

[1] Tech Univ Budapest, Inst Math, H-1111 Budapest, Hungary

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 02期

关键词：

orthogonal decomposition; rooted tree; prefix; shift-invariant; joint spectral radius;

D O I：

10.1090/S0002-9939-98-04067-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a necessary and sufficient condition for a certain set of infinite products of linear operators to be zero. We shall investigate also the case when this set of infinite products converges to a non-zero operator. The main device in these results is a weighted version of the Konig Lemma for infinite trees in graph theory.

引用

页码：535 / 543

页数：9

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