A classification for selfdual cones in Hilbert space

DOI10.1007/BF01226022zbMath0385.46011OpenAlexW2094767901MaRDI QIDQ1249313

Wolfgang Bös

Publication date: 1978

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01226022

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General theory of von Neumann algebras (46L10) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items

Homogeneous self dual cones, versus Jordan algebras. The theory revisited, Perfect cones, Symmetry groups on ordered Banach spaces, Extremal maps of a Hilbert space equipped with a natural cone

Cites Work

• Direct integrals of selfdual cones and standard forms of von Neumann algebras
• A Gelfand-Neumark theorem for Jordan algebras
• Caractérisation des espaces vectoriels ordonnés sous jacents aux algèbres de Von Neumann
• Ordered linear spaces
• The ideal center of partially ordered vector spaces
• The standard form of von Neumann algebras.
• Non-commutative spectral theory for affine function spaces on convex sets
• On the Ideal Centres of Certain Partially Ordered Banach Spaces
• Order Properties of Bounded Self-Adjoint Operators
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