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

Vania Mascioni, Lajos Molnar

math.FAarXiv:math/9704216

Abstract

The aim of this paper is to characterize those linear maps from a von Neumann factor into itself which preserve the extreme points of the unit ball of . For example, we show that if 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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