Invariant Subspaces of Positive Quasinilpotent Operators on Ordered Banach Spaces

被引：0
|
作者：
Hailegebriel E. Gessesse
Vladimir G. Troitsky
机构：
[1] University of Alberta,Department of Mathematical and Statistical Sciences
来源：
Positivity | 2008年 / 12卷
关键词：
Primary: 47A15; Secondary: 46B42, 47B65; Invariant subspace; minimal vector; ordered normed space; positive operator; Sobolev space;
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摘要：
In this paper we find invariant subspaces of certain positive quasinilpotent operators on Krein spaces and, more generally, on ordered Banach spaces with closed generating cones. In the later case, we use the method of minimal vectors. We present applications to Sobolev spaces, spaces of differentiable functions, and C*-algebras.
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页码：193 / 208
页数：15
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