Jordan-morphisms in -algebras

Author:
Klaus Thomsen

Journal:
Proc. Amer. Math. Soc. **86** (1982), 283-286

MSC:
Primary 46K05; Secondary 46L05

DOI:
https://doi.org/10.1090/S0002-9939-1982-0667290-0

MathSciNet review:
667290

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Abstract: As a continuation of Størmer's work on Jordan-morphisms in -algebras we consider Jordan-morphisms from -algebras into the -algebra , and assume that is again a -algebra. We then establish the existence of three mutually orthogonal central projections , , in such that and is a morphism, is an antimorphism. is the largest projection such that is a morphism, as well as an antimorphism.

Uniqueness is also shown. The theorem improves a result of Kadison and Størmer. Our proofs are self-contained.

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DOI:
https://doi.org/10.1090/S0002-9939-1982-0667290-0

Article copyright:
© Copyright 1982
American Mathematical Society