4 papers
Extreme point methods in the study of isometries on certain non-commutative spaces
Pierre de Jager, Jurie Conradie
In this paper we characterize surjective isometries on certain classes of non-commutative spaces associated with semi-finite von Neumann algebras: the Lorentz spaces , as…
Isometries between non-commutative symmetric spaces associated with semi-finite von Neumann algebras
Pierre de Jager, Jurie Conradie
In this article we show that positive surjective isometries between symmetric spaces associated with semi-finite von Neumann algebras are projection disjointness preserving if they…
Isometries on non-commutative (quantum) Lorentz spaces associated with semi-finite von Neumann algebras
Pierre de Jager, Jurie Conradie
In this article we characterize the extreme points of the unit ball of a non-commutative (quantum) Lorentz space associated with a semi-finite von Neumann algebra. This enables us…
Extension of projection mappings
Pierre de Jager, Jurie Conradie
We show that a map between projection lattices of semi-finite von Neumann algebras can be extended to a Jordan -homomorphism between the von Neumann algebras if this map is defi…