A contractive version of a Schur-Horn theorem in II1 factors

被引：12

作者：

Argerami, M. ^{[1
]}

Massey, P. ^{[2
]}

机构：

[1] Univ Regina, Dept Math, Regina, SK S4S 0A2, Canada

[2] Univ Nacl La Plata, Dept Math, La Plata, Argentina

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 337卷 / 01期

关键词：

majorization; submajorization; contractive orbits; Schur-Horn theorem;

D O I：

10.1016/j.jmaa.2007.03.095

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a contractive version of the Schur-Horn theorem for submajorization in II1 factors that complements some previous results on the Schur-Horn theorem within this context. We obtain a reformulation of a conjecture of Arveson and Kadison regarding a strong version of the Schur-Horn theorem in II1 factors in terms of submajorization and contractive orbits of positive operators. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：231 / 238

页数：8

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