Browsing Faculty of Natural and Agricultural Sciences by Subject "Jordan homomorphisms"

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    • Extension of projection mappings 

      De Jager, Pierre; Conradie, Jurie (Taylor & Francis, 2020)
      We provide sufficient conditions for a map between projection lattices of semi-finite von Neumann algebras to be extended to a Jordan *-homomorphism. These conditions are sufficiently general for the procedures developed herein ...

    • Isometries between non-commutative symmetric spaces associated with semi-finite von Neumann algebras 

      De Jager, Pierre; Conradie, Jurie (Springer, 2020)
      We show that positive surjective isometries between symmetric spaces associated with semi-finite von Neumann algebras are projection disjointness preserving if they are finiteness preserving. This is subsequently used to ...