Submajorisation inequalities for convex and concave functions of sums of measurable operators

被引：20

作者：

Dodds, Peter G. ^{[1
]}

Sukochev, Fyodor A. ^{[1
]}

机构：

[1] Flinders Univ S Australia, Sch Comp Sci Math & Engn, Adelaide, SA 5001, Australia

来源：

POSITIVITY | 2009年 / 13卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

Measurable operators; submajorisation;

D O I：

10.1007/s11117-008-2206-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that non-negative, increasing, convex (respectively, concave) functions are superadditive (respectively, subadditive) with respect to submajorisation on the positive cone of the space of all t-measurable operators affiliated with a semifinite von Neumann algebra. This extends recent results for n x n- matrices by Ando-Zhan, Kosem and Bourin-Uchiyama.

引用

页码：107 / 124

页数：18

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