Jordan operator algebras: basic theory

David P. Blecher and Zhenhua Wang

Mathematische Nachrichten, 2018, vol. 291, issue 11-12, 1629-1654

Abstract: Jordan operator algebras are norm‐closed spaces of operators on a Hilbert space which are closed under the Jordan product. The discovery of the present paper is that there exists a huge and tractable theory of possibly nonselfadjoint Jordan operator algebras; they are far more similar to associative operator algebras than was suspected. We initiate the theory of such algebras.

Date: 2018
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