Jordan maps on standard operator algebras

Details Jordan maps on standard operator algebras Jordan maps on standard operator algebras

2001-08-08

arxiv.org/abs/math/0108057v1

Mathematics

Operator Algebras

14 pages. To appear in Proceedings of the 38th ISFE, Kluwer Academic Publishers

Scientific paper

Jordan isomorphisms of rings are defined by two equations. The first one is
the equation of additivity while the second one concerns multiplicativity with
respect to the so-called Jordan product. In this paper we present results
showing that on standard operator algebras over spaces with dimension at least
2, the bijective solutions of that second equation are automatically additive.

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