Common invariant subspaces for finitely quasinilpotent collections of positive operators on a banach space with a schauder basis

被引：4

作者：

Liu, Mingxue ^{[1
]}

机构：

[1] Guangdong Polytech Normal Univ, Dept Math, Guangzhou 510665, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2007年 / 37卷 / 04期

关键词：

D O I：

10.1216/rmjm/1187453106

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if C not equal {0} is a collection of continuous positive operators on a Banach space with a Schauder basis that is finitely quasinilpotent at a nonzero positive vector, then C and its positive commutant C+' have a common nontrivial invariant closed subspace.

引用

页码：1187 / 1193

页数：7

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