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.
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页数：13
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