On homomorphisms of an orthogonally decomposable Hilbert space

DOI10.1016/0022-1236(86)90103-5zbMath0609.47049OpenAlexW2080702417MaRDI QIDQ1086816

T. B. Dang, Sadayuki Yamamuro

Publication date: 1986

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90103-5

zbMATH Keywords

real partordered Hilbert spacecyclic separating vectorduals of o.d. homomorphismsKato's equalitynon-commutative counterpart of the lattice homomorphismorthogonally decomposable Hilbert spacesemigroups of o.d. homomorphismsTomita-Takesaki's theoryvon Neumann algebra on a Hilbert space

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Linear operators on ordered spaces (47B60) Ordered topological linear spaces, vector lattices (46A40)

Related Items (4)

Positive Maps on Self-Dual Cones ⋮ Complete orthogonal decomposition homomorphisms between matrix ordered Hilbert spaces ⋮ Homomorphisms on an orthogonally decomposable Hilbert space V ⋮ Extremal maps of a Hilbert space equipped with a natural cone

Cites Work

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• Kato's equality and spectral decompositon for positive \(C_ 0\)-groups
• Caractérisation des espaces vectoriels ordonnés sous jacents aux algèbres de Von Neumann
• Symmetry groups on ordered Banach spaces
• On orthogonally decomposable ordered Banach spaces
• Absolute values in orthogonally decomposable spaces

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