States and synaptic algebras

DOI10.1016/S0034-4877(17)30018-6zbMath1384.81007arXiv1606.08229MaRDI QIDQ1744685

Sylvia Pulmannová, David J. Foulis, Anna Jenčová

Publication date: 19 April 2018

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

Full work available at URL: https://arxiv.org/abs/1606.08229

zbMATH Keywords

stateMV-algebraJordan algebra\(\ell\)-groupconvex effect algebrasynaptic algebraextremal stateorder unit normed spaceGH-algebra

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Ordered normed spaces (46B40)

Related Items (4)

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

Cites Work

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