Characterizations of Centralizable Mappings on Algebras of Locally Measurable Operators

被引：0

作者：

Jun HE ^{[1
]}

Guang Yu AN ^{[2
]}

Jian Kui LI ^{[3
]}

Wen Hua QIAN ^{[4
]}

机构：

[1] Department of Mathematics, Anhui Polytechnic University

[2] Department of Mathematics, Shaanxi University of Science and Technology

[3] Department of Mathematics, East China University of Science and Technology

[4] School of Mathematical Sciences, Chongqing Normal University

来源：

Acta Mathematica Sinica,English Series | 2020年 / 09期

基金：

中国国家自然科学基金;

关键词：

D O I：

暂无

中图分类号：

O15 [代数、数论、组合理论];

学科分类号：

0701 ; 070101 ;

摘要：

A linear mapping φ from an algebra A into its bimodule M is called a centralizable mapping at G∈A if φ（AB）=φ（A）B=Aφ（B） for each A and B in A with AB=G.In this paper,we prove that if M is a von Neumann algebra without direct summands of type I;and type Ⅱ,A is a*-subalgebra with M?A?LS（M） and G is a fixed element in A,then every continuous (with respect to the local measure topology t（M）) centralizable mapping at G from A into M is a centralizer.

引用

页码：1039 / 1048

页数：10

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