A decomposition theorem in II1-factors

被引：16

作者：

Dykema, Kenneth ^{[1
]}

Sukochev, Fedor ^{[2
]}

Zanin, Dmitriy ^{[2
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[2] Univ New S Wales, Sch Math & Stat, Kensington, NSW 2033, Australia

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2015年 / 708卷

关键词：

OPERATORS;

D O I：

10.1515/crelle-2013-0084

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Building on results of Haagerup and Schultz, we decompose an arbitrary operator in a diffuse, finite von Neumann algebra into the sum of a normal operator and an s.o.t.-quasinilpotent operator. We also prove an analogue of Weyl's inequality relating eigenvalues and singular values for operators in a diffuse, finite von Neumann algebra.

引用

页码：97 / 114

页数：18

共 24 条

[21] A NOTE ON THE INVARIANT SUBSPACE PROBLEM RELATIVE TO A TYPE II1 FACTOR
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