COMMON INVARIANT SUBSPACES FOR N-TUPLES OF POSITIVE OPERATORS ACTING ON TOPOLOGICAL VECTOR SPACES

被引：0

作者：

Bermudo, S. ^{[1
]}

Fernandez Valles, A. ^{[2
]}

机构：

[1] Univ Popular Autonoma Estado Puebla, Dept Engn, Puebla 72160, Mexico

[2] Univ Cadiz, Dept Math, Jerez de la Frontera 11402, Spain

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2009年 / 13卷 / 04期

关键词：

Common closed invariant subspaces; N-tuples of operators; Joint weak local quasinilpotence; Markushevich basis;

D O I：

10.11650/twjm/1500405508

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (T-1,...,T-N) be a N-tuple of positive operators with respect a Markushevich basis which are defined on a Hausdorff topological vector space. In this work we extend the notion of weak local quasinilpotence to N-tuples of operators (not-necessarily commuting). Under the hypothesis of existence of positive vectors, joint weak locally quasinilpotent we will obtain the existence of common invariant subspaces.

引用

页码：1283 / 1290

页数：8

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