Dixmier-type traces on symmetric spaces associated with semifinite von Neumann algebras

被引：0

作者：

Levitina, Galina ^{[1
]}

Usachev, Alexandr ^{[2
]}

机构：

[1] Australian Natl Univ, Math Sci Inst, Canberra, ACT 2601, Australia

[2] Cent South Univ, Sch Math & Stat, Changsha 410075, Peoples R China

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2024年 / 15卷 / 02期

基金：

澳大利亚研究理事会;

关键词：

Singular trace; Symmetric functional; Symmetric space; OPERATOR IDEALS; SINGULAR TRACES; LINEAR-FORMS;

D O I：

10.1007/s43034-024-00343-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that a normalised linear functional on certain symmetric spaces associated with a semifinite von Neumann algebra, respects tail majorisation if and only if it is a Dixmier-type trace.

引用

页数：14

共 50 条

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