
arXiv: 1302.5245
We give a simple proof of a meaningful result established by Y. Friedman and B. Russo in 1985, whose proof was originally based on strong holomorphic results. We provide a simple proof which is directly deduced from the axioms of JB*-triples with techniques of Functional Analysis.
Mathematics - Functional Analysis, States of selfadjoint operator algebras, tripotent, Jordan structures on Banach spaces and algebras, positive definite Hermitian sesquilinear mappings, FOS: Mathematics, Peirce decomposition, Nonassociative selfadjoint operator algebras, Functional Analysis (math.FA)
Mathematics - Functional Analysis, States of selfadjoint operator algebras, tripotent, Jordan structures on Banach spaces and algebras, positive definite Hermitian sesquilinear mappings, FOS: Mathematics, Peirce decomposition, Nonassociative selfadjoint operator algebras, Functional Analysis (math.FA)
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