69 research outputs found
Sequential isomorphisms between the sets of von Neumann algebra effects
In this paper we describe the structure of all sequential isomorphisms
between the sets of von Neumann algebra effects. It turns out that if the
underlying algebras have no commutative direct summands, then every sequential
isomorphism between the sets of their effects extends to the direct sum of a
*-isomorphism and a *-antiisomorphism between the underlying von Neumann
algebras.Comment: To appear in Acta Sci. Math. (Szeged
On isomorphisms of standard operator algebras
The aim of this paper is to show that between standard operator algebras
every bijective map with a certain multiplicativity property related to Jordan
triple isomorphisms of associative rings is automatically additive.Comment: 8 pages. To appear in Studia Mat
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