On Non-Commutative Spectral Theory and Jordan Algebras

DOI10.1112/plms/s3-38.3.497zbMath0404.46028OpenAlexW1970654753MaRDI QIDQ4189659

Frederic W. Shultz, Erik M. Alfsen

Publication date: 1979

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-38.3.497

zbMATH Keywords

Jordan AlgebraExtreme PointsChoquet SimplexOrthogonal DecompositionJb-AlgebraCompact Convex SetBase Norm SpaceComplete Orthomodular LatticesJbw-AlgebraOrder Unit SpaceP-ProjectionProjective FaceProjective UnitSpectral Duality

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Banach lattices (46B42) Convex sets in topological linear spaces; Choquet theory (46A55) Ordered topological linear spaces, vector lattices (46A40) Jordan structures on Banach spaces and algebras (17C65) Topological algebras, normed rings and algebras, Banach algebras (46H99) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

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