A Gruss inequality for n-positive linear maps

被引：15

作者：

Moslehian, Mohammad Sal ^{[2
]}

Rajic, Rajna ^{[1
]}

机构：

[1] Univ Zagreb, Fac Min Geol & Petr Engn, Zagreb 10000, Croatia

[2] Ferdowsi Univ Mashhad, Dept Pure Math, CEAAS, Mashhad 91775, Iran

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2010年 / 433卷 / 8-10期

关键词：

Gruss inequality; Operator inequality; Positive operator; C*-algebra; Completely positive map; n-positive map; SCHWARZ INEQUALITY; OPERATOR VERSIONS; ALGEBRAS;

D O I：

10.1016/j.laa.2010.06.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a unital C*-algebra and let phi : A -> B(H) be a unital n-positive linear map between C*-algebras for some n >= 3. We show that parallel to phi(AB) - phi(A)phi(B)parallel to <= Delta(A, parallel to center dot parallel to) Delta(B, parallel to center dot parallel to) for all operators A, B is an element of A, where Delta(C, parallel to center dot parallel to) denotes the operator norm distance of C from the scalar operators. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1555 / 1560

页数：6

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