The invariant subspace problem for absolutely p-summing operators in Krein spaces

被引：0

作者：

Wanjala, Gerald ^{[1
]}

机构：

[1] Sultan Qaboos Univ, Dept Math & Stat, POB 36 PC 123, Al Khoud, Oman

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

关键词：

Krein spaces; invariant subspace; absolutely p-summing operator;

D O I：

10.1186/1029-242X-2012-254

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let 1 <= p < infinity, and let T be a bounded linear operator defined on a Krein space kappa. We prove the existence of a non-positive subspace L_ of kappa invariant under T with the assumption that T is absolutely p-summing with some further conditions imposed on it.

引用

页数：13

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