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Jordan operator algebras: Basic theory

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… Click to show full 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.

Keywords: theory; jordan; operator algebras; jordan operator; algebras basic

Journal Title: Mathematische Nachrichten
Year Published: 2017

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