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Caractérisation des algèbres de Jordan-Banach de capacité finie. (Characterization of Jordan Banach algebras of finite capacity). (French) Zbl 0679.46035

The authors give several equivalent conditions on a semi-simple unital non commutative Jordan Banach algebra A (real or complex) which are necessary and sufficient for A to be of finite capacity, i.e. \(\mathbf{1}=e_ 1+...+e_ n\), where \(e_ i\), \(i=1,...,n\), are orthogonal completely primitive idempotents.
Reviewer: Sh.Ayupov

MSC:

46H70 Nonassociative topological algebras
46L05 General theory of \(C^*\)-algebras
17C50 Jordan structures associated with other structures
17D99 Other nonassociative rings and algebras
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