Commutativity in a synaptic algebra

DOI10.1515/ms-2015-0151zbMath1374.47090OpenAlexW2466583888MaRDI QIDQ2822863

Sylvia Pulmannová, David J. Foulis

Publication date: 5 October 2016

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2015-0151

zbMATH Keywords

derivationsynaptic algebraquasi-commutativitynorm compatibilitystandard synaptic algebra

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Abstract operator algebras on Hilbert spaces (47L30)

Related Items (10)

Banach synaptic algebras ⋮ Every synaptic algebra has the monotone square root property ⋮ Spectral order on a synaptic algebra ⋮ States and synaptic algebras ⋮ 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 ⋮ Observables on synaptic algebras ⋮ A projection and an effect in a synaptic algebra ⋮ Two projections in a synaptic algebra

Cites Work

• Type-decomposition of a synaptic algebra
• Projections in a synaptic algebra
• Spin factors as generalized Hermitian algebras
• Generalized Hermitian algebras
• The logic order on a generalized Hermitian algebra

This page was built for publication: Commutativity in a synaptic algebra