Spectral resolution in a Rickart comgroup

DOI10.1016/S0034-4877(04)80016-8zbMath1161.81310OpenAlexW2051885054MaRDI QIDQ852091

David J. Foulis

Publication date: 27 November 2006

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(04)80016-8

zbMATH Keywords

eigenvaluespectrumprojectionpartially ordered abelian groupcomgroupcompressible groupgeneral comparabilityrational spectral resolutionRickart projection property

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (12)

Polar decomposition in e-rings ⋮ The universal group of a Heyting effect algebra ⋮ Compatibility of observables on effect algebras ⋮ Spectrality in convex sequential effect algebras ⋮ Spectral order unit spaces and JB-algebras ⋮ Square roots and inverses in e-rings ⋮ Unnamed Item ⋮ Effect algebras with compressions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Compressible effect algebras ⋮ Spectral resolutions in Dedekind \(\sigma\)-complete \(\ell\)-groups

Cites Work

• Unnamed Item
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• Ein nicht-klassischer Hilbertscher Raum
• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• On a class of orthomodular quadratic spaces
• Orthomodular structures as quantum logics. Transl. from the Slovak
• Regularity in quantum logic
• Algebraic Analysis of Many Valued Logics
• Affine representations of Grothendieck groups and applications to Rickart 𝐶*-algebras and ℵ₀-continuous regular rings
• Compressions on partially ordered abelian groups

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