Spin factors as generalized Hermitian algebras

DOI10.1007/s10701-009-9279-8zbMath1192.81193OpenAlexW2087910703MaRDI QIDQ1029199

Sylvia Pulmannová, David J. Foulis

Publication date: 10 July 2009

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10701-009-9279-8

zbMATH Keywords

Jordan algebraspin factorgeneralized Hermitian algebra

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Spinor and twistor methods applied to problems in quantum theory (81R25) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (10)

Banach synaptic algebras ⋮ Spectral order on a synaptic algebra ⋮ Corrigendum to: ``Banach synaptic algebras ⋮ States and synaptic algebras ⋮ Synaptic algebras as models for quantum mechanics ⋮ A Loomis-Sikorski theorem and functional calculus for a generalized Hermitian algebra ⋮ Projections in a synaptic algebra ⋮ A projection and an effect in a synaptic algebra ⋮ Commutativity in a synaptic algebra ⋮ Two projections in a synaptic algebra

Cites Work

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• Tensor algebras over Hilbert spaces. II
• Spectral resolution in an order-unit space
• A taste of Jordan algebras
• Physical applications of homogeneous balls. With the assistance of Tzvi Scarr
• Jordan algebras of type I
• Regular elements in generalized hermitian algebras
• Jordan algebras of self-adjoint operators

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