Joint local quasinilpotence and common invariant subspaces

被引：1

作者：

Valles, A. Fernandez ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2006年 / 116卷 / 03期

关键词：

joint local quasi nilpotence; uniform joint local quasinilpotence; common invariant subspaces; positive operators;

D O I：

10.1007/BF02829748

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we obtain some positive results about the existence of a common nontrivial invariant subspace for N-tuples of not necessarily commuting operators on Banach spaces with a Schauder basis. The concept of joint quasi nil potence plays a basic role. Our results complement recent work by Kosiek [6] and Ptak [8].

引用

页码：317 / 323

页数：7

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