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Part of the book series: Mathematics and Its Applications ((MAIA,volume 418))

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Abstract

This chapter is devoted to weakly closed Jordan algebras of self-adjoint operators on a complex Hilbert space — so called JW-algebras introduced by D.Topping. They present a real and non associative counterpart for von Neumann algebras, and many parts of the structure theory of JW-algebras are very similar to the corresponding parts of von Neumann algebras theory.

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© 1997 Springer Science+Business Media Dordrecht

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Ayupov, S., Rakhimov, A., Usmanov, S. (1997). Jordan Operator Algebras. In: Jordan, Real and Lie Structures in Operator Algebras. Mathematics and Its Applications, vol 418. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8605-4_3

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  • DOI: https://doi.org/10.1007/978-94-015-8605-4_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4891-2

  • Online ISBN: 978-94-015-8605-4

  • eBook Packages: Springer Book Archive

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