PERSPECTIVES AND COMPLETELY POSITIVE MAPS

被引：3
|
作者：
Hansen, Frank [1 ]
机构：
[1] Tohoku Univ, Inst Excellence Higher Educ, Sendai, Miyagi, Japan
来源：
ANNALS OF FUNCTIONAL ANALYSIS | 2017年 / 8卷 / 02期
基金：
美国国家科学基金会;
关键词：
partial traces of operator means; Lieb and Ruskai's convexity theorem; DEFINITE MATRICES; GEOMETRIC MEANS; INEQUALITIES; PRODUCTS;
D O I：
10.1215/20088752-3784269
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the filtering of the perspective of a regular operator map of several variables through a completely positive linear map. By this method we are able to extend known operator inequalities of two variables to several variables, with applications in the theory of operator means of several variables. We also extend Lieb and Ruskai's convexity theorem from two to n + 1 operator variables for any natural number n.
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页码：168 / 176
页数：9
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