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Real Isometries between J B*-Triples
Proceedings of the American Mathematical Society
Vol. 114, No. 4 (Apr., 1992), pp. 971-980
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2159615
Page Count: 10
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It is shown that except for a certain class of JB*-triples (for which the result is false), real linear surjective isometries preserve the triple product. In particular, unital real linear isometries of C*-algebras are real linear Jordan *-isomorphisms.
Proceedings of the American Mathematical Society © 1992 American Mathematical Society