Linear maps on factors which preserve the extreme points of the unit ball

Canadian mathematical bulletin

关键词: singular integral;    rough kernel;    Hardy space;   

DOI  :  10.4153/CMB-1998-057-7

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

The aim of this paper is to characterize those linear maps from avon~Neumann factor $A$ into itself which preserve the extreme pointsof the unit ball of $A$. For example, we show that if $A$ is infinite,then every such linear preserver can be written as a fixed unitaryoperator times either a unital $ast$-homomorphism or a unital$ast$-antihomomorphism.

【 授权许可】

Unknown