Completely positive compact operators on non-commutative symmetric spaces

被引：0
|
作者：
P. G. Dodds
B. de Pagter
机构：
[1] Flinders University,School of CSEM
[2] Delft University of Technology,Department of Mathematics, Faculty of EEMCS
来源：
Positivity | 2010年 / 14卷
关键词：
Completely positive operators; Compact operators; Non-commutative symmetric spaces; Primary 46L52; Secondary 46E30; 47B60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Under natural conditions, it is shown that a completely positive operator between two non-commutative symmetric spaces of τ-measurable operators which is dominated in the sense of complete positivity by a completely positive compact operator is itself compact.
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页码：665 / 679
页数：14
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