Real isometries between $\textrm {JB}^ *$-triples
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Abstract:
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.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 971-980
- MSC: Primary 46L70; Secondary 17C65, 46L05
- DOI: https://doi.org/10.1090/S0002-9939-1992-1056677-9
- MathSciNet review: 1056677