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Jordan algebras of self-adjoint operators

1967
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Transactions of the American Mathematical Society
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1. Introduction. A Jordan algebra of self-adjoint operators on a Hubert space, or simply, a J-algebra, is a real linear space of such operators closed under the product A o B=^(AB + BA). A JC-algebra, respectively, a JW-algebra, is a uniformly closed, respectively, weakly closed /-algebra (we show in §3 that a-weakly closed /-algebras are weakly closed). In a recent paper [4], D. Topping has shown that many of the techniques used in the study of self-adjoint algebras of operators are applicable

doi:10.1090/s0002-9947-1967-0206733-x
fatcat:de5nahnmnnax5ksqx2kpxo6w6q