Local and global splittings in the state space of a JB-algebra

DOI10.1007/BF01450544zbMath0468.46050MaRDI QIDQ1156339

P. J. Stacey

Publication date: 1981

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163529

zbMATH Keywords

extension axiomideal centrestate space of a JB-algebra

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Classifications of (C^*)-algebras (46L35) States of selfadjoint operator algebras (46L30) Jordan structures on Banach spaces and algebras (17C65)

Related Items (1)

Extension of Jauch–Piron states on Jordan algebras

Cites Work

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• On normed Jordan algebras which are Banach dual spaces
• A Gelfand-Neumark theorem for Jordan algebras
• Jordan algebras of type I
• The ideal center of partially ordered vector spaces
• Non-commutative spectral theory for affine function spaces on convex sets
• Ideal Theory in JB-Algebras
• On the centres of hereditary JBW-subalgebras of a JBW-algebra
• Measures and Tensors
• A Theory of Cross-Spaces. (AM-26)

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