Derivations of τ-measurable Operators

被引：0

作者：

Weigt, Martin ^{[1
]}

机构：

[1] Univ Cape Town, Dept Math & Appl Math, ZA-7701 Rondebosch, South Africa

来源：

OPERATOR ALGEBRAS, OPERATOR THEORY AND APPLICATIONS | 2010年 / 195卷

关键词：

Atomic projection lattice; inner derivation; derivation; tau-measurable operators; faithful semifinite normal trace; topology of convergence in measure; von Neumann algebra; ALGEBRAS; SPACES; CONTINUITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well known that all derivations on a C*-algebra are continuous and that all derivations on a von Neumann algebra are inner. The aim of this work is to provide some extensions of these results to the algebra of tau-measurable operators affiliated with a von Neumann algebra equipped with a faithful semifinite normal trace tau.

引用

页码：273 / 286

页数：14