CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
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
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, 47D25 show english descriptions Transformers, preservers (operators on spaces of operators)
unknown classification 47D25
47B49 - Transformers, preservers (operators on spaces of operators)
47D25 - unknown classification 47D25
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/