Spectral order unit spaces and JB-algebras

DOI10.1016/j.jmaa.2022.126911OpenAlexW4312052399MaRDI QIDQ2680417

Anna Jenčová, Sylvia Pulmannová

Publication date: 2 January 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.08740

zbMATH Keywords

functional calculusspectralityJB-algebraorder unit spacegeneralized spin factor

Mathematics Subject Classification ID

Nonassociative selfadjoint operator algebras (46L70) Ordered normed spaces (46B40)

Cites Work

• Effect algebras and unsharp quantum logics.
• Spectral resolution in a Rickart comgroup
• Compression bases in unital groups
• Spectral resolution in an order-unit space
• Orthomodular structures as quantum logics. Transl. from the Slovak
• On abstract \(JW\)-algebras
• Regularity in quantum logic
• Convex and linear effect algebras
• Geometric and algebraic aspects of spectrality in order unit spaces: a comparison
• Commutativity in Jordan operator algebras
• ON DEFINING AW*-ALGEBRAS AND RICKART C*-ALGEBRAS
• Non-commutative spectral theory for affine function spaces on convex sets
• On Non-Commutative Spectral Theory and Jordan Algebras
• Compressions on partially ordered abelian groups
• MONOTONE $\sigma$-COMPLETE RC-GROUPS
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