location:  Publications → journals → CMB
Abstract view

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

Published:1998-12-01
Printed: Dec 1998
• Vania Mascioni
• Lajos Molnár
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
 Format: HTML LaTeX MathJax PDF PostScript

## 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 $\ast$-homomorphism or a unital $\ast$-antihomomorphism.
 MSC Classifications: 47B49 - Transformers, preservers (operators on spaces of operators) 47D25 - unknown classification 47D25