Maps on noncommutative Orlicz spaces

@article{Labuschagne2009MapsON,
  title={Maps on noncommutative Orlicz spaces},
  author={Louis E. Labuschagne and Wladyslaw A. Majewski},
  journal={arXiv: Operator Algebras},
  year={2009}
}
A generalization of the Pistone-Sempi argument, demonstrating the utility of non-commutative Orlicz spaces, is presented. The question of lifting positive maps defined on von Neumann algebra to maps on corresponding noncommutative Orlicz spaces is discussed. In particular, we describe those Jordan *-morphisms on semifinite von Neumann algebras which in a canonical way induce quantum composition operators on noncommutative Orlicz spaces. Consequently, it is proved that the framework of… 
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