Around Choi inequalities for positive linear maps

被引：4

作者：

Furuta, Takayuki ^{[1
]}

机构：

[1] Tokyo Univ Sci, Dept Math Informat Sci, Shinjuku Ku, Tokyo 1628601, Japan

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 434卷 / 01期

关键词：

Unital positive linear map; Kadison inequality; Choi inequality; Order preserving operator inequality;

D O I：

10.1016/j.laa.2010.07.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show an inequality for unital positive linear maps cl) interpolating Choi's inequality (p = 0) with a recent result of Bourin and Ricard (r = 1): Let A is an element of A(+), 0 <= p <= q and a/q = p <= r <= 2q/q + p Then vertical bar Phi(A(p))(r)Phi(A(q))(r)vertical bar <= Phi(A((p+q)r)). (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：14 / 17

页数：4

共 12 条

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