Geodesic
Linear Maps on Factors which Preserve the Extreme Points of the Unit Ball
Canadian mathematical bulletin, Tome 41 (1998) no. 4, pp. 434-441

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DOI

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.
DOI : 10.4153/CMB-1998-057-7
Mots-clés : 47B49, 47D25 
Mascioni, Vania; Molnár, Lajos. Linear Maps on Factors which Preserve the Extreme Points of the Unit Ball. Canadian mathematical bulletin, Tome 41 (1998) no. 4, pp. 434-441. doi: 10.4153/CMB-1998-057-7
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     author = {Mascioni, Vania and Moln\'ar, Lajos},
     title = {Linear {Maps} on {Factors} which {Preserve} the {Extreme} {Points} of the {Unit} {Ball}},
     journal = {Canadian mathematical bulletin},
     pages = {434--441},
     year = {1998},
     volume = {41},
     number = {4},
     doi = {10.4153/CMB-1998-057-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-057-7/}
}
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