ON BOOLEAN PRODUCT OF OPERATOR-VALUED LINEAR MAPS DEFINED ON *-ALGEBRAS

被引：0

作者：

Ionescu, Valentin ^{[1
]}

机构：

[1] Romanian Acad, Inst Math Stat & Appl Math, Bucharest 050711, Romania

来源：

PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE | 2013年 / 14卷 / 02期

关键词：

universal free product (*-; C*-)algebra; Boolean product of linear maps; complete positivity; matrix Cauchy-Schwarz type inequality; POSITIVE MAPS;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We extend the proof of the main result in [10] to completely positive maps defined on *- algebras. Thus, we obtain a simpler new proof of the main result in [11]. This relies on a matrix Cauchy-Schwarz type inequality stated in [11], and uses an extension of a Paschke-Stormer positivity criterion to block- matrices over a C*-algebra established in [10].

引用

页码：89 / 94

页数：6

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