scientific article; zbMATH DE number 912439

zbMath0855.46049MaRDI QIDQ4887178

Hans Arwed Keller, Herminia Ochsenius A.

Publication date: 20 October 1996

Full work available at URL: https://eudml.org/doc/31711

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zbMATH Keywords

projection theoremvalued fieldsnon-archimedean valuationnon-archimedean normorthogonal summandinfinite-dimensional orthomodular spacesoperator algebra of von Neumann type

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Non-Archimedean valued fields (12J25)

Related Items (5)

Spectral decompositions of operators on non-Archimedean orthomodular spaces ⋮ Two families of self-adjoint indecomposable operators in an orthomodular space ⋮ Linear homeomorphisms of non-classical Hilbert spaces ⋮ Spectral analysis for finite rank perturbations of diagonal operators in non-Archimedean Hilbert space ⋮ Norm Hilbert spaces over Krull valued fields

Cites Work

• Ein nicht-klassischer Hilbertscher Raum
• On a class of orthomodular quadratic spaces
• Unnamed Item

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