Linear maps on factors which preserve the extreme points of the unit ball
Functional Analysis
2016-09-07 v1
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.
Keywords
Cite
@article{arxiv.math/9704216,
title = {Linear maps on factors which preserve the extreme points of the unit ball},
author = {Vania Mascioni and Lajos Molnar},
journal= {arXiv preprint arXiv:math/9704216},
year = {2016}
}