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Jordan operator algebras: basic theory

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  • David P. Blecher
  • Zhenhua Wang

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.

Suggested Citation

  • David P. Blecher & Zhenhua Wang, 2018. "Jordan operator algebras: basic theory," Mathematische Nachrichten, Wiley Blackwell, vol. 291(11-12), pages 1629-1654, August.
    • Handle: RePEc:bla:mathna:v:291:y:2018:i:11-12:p:1629-1654
    DOI: 10.1002/mana.201700178
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