Jordan maps on standard operator algebras
Operator Algebras
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0108057,
title = {Jordan maps on standard operator algebras},
author = {Lajos Molnar},
journal= {arXiv preprint arXiv:math/0108057},
year = {2007}
}
Comments
14 pages. To appear in Proceedings of the 38th ISFE, Kluwer Academic Publishers