Spectral resolution in an order-unit space

DOI10.1016/S0034-4877(09)00004-4zbMath1171.46018OpenAlexW2092192559MaRDI QIDQ1006594

David J. Foulis, Sylvia Pulmannová

Publication date: 25 March 2009

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

Full work available at URL: https://doi.org/10.1016/s0034-4877(09)00004-4

zbMATH Keywords

spectral resolutioneigenprojectionorder-unit space

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Ordered normed spaces (46B40)

Related Items (15)

Generalized Hermitian algebras ⋮ The logic order on a generalized Hermitian algebra ⋮ Every synaptic algebra has the monotone square root property ⋮ Spectrality in convex sequential effect algebras ⋮ Spectral order unit spaces and JB-algebras ⋮ Spectral order on a synaptic algebra ⋮ Synaptic algebras as models for quantum mechanics ⋮ A Loomis-Sikorski theorem and functional calculus for a generalized Hermitian algebra ⋮ Kadison's antilattice theorem for a synaptic algebra ⋮ Regular elements in generalized hermitian algebras ⋮ Projections in a synaptic algebra ⋮ Geometric and algebraic aspects of spectrality in order unit spaces: a comparison ⋮ Synaptic algebras ⋮ Spin factors as generalized Hermitian algebras ⋮ Symmetries in synaptic algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Compression bases in unital groups
• Interval and scale effect algebras
• The operational approach to algebraic quantum theory. I
• Non-commutative spectral theory for affine function spaces on convex sets
• Compressions on partially ordered abelian groups
• The Quantum Theory of Measurement
• MONOTONE $\sigma$-COMPLETE RC-GROUPS

This page was built for publication: Spectral resolution in an order-unit space