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arXiv · 1705.00245

Jordan operator algebras: Basic theory

David P. Blecher·Zhenhua Wang
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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.

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David P. Blecher, Zhenhua Wang. 2017-12-18. Jordan operator algebras: Basic theory. https://arxiv.org/abs/1705.00245

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