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

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

1997-04-22

arxiv.org/abs/math/9704216v1

Mathematics

Functional Analysis

Scientific paper

The aim of this paper is to characterize those linear maps from a von
Neumann factor $\A$ into itself which preserve the extreme points of 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 unitary operator times either a
unital *-homomorphism or a unital *-antihomomorphism.

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