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Linear Maps on Factors which Preserve the Extreme Points of the Unit Ball
Published online by Cambridge University Press: 20 November 2018
Abstract
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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- Research Article
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- Copyright © Canadian Mathematical Society 1998
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