Two projections in a synaptic algebra

DOI10.1016/j.laa.2015.03.021OpenAlexW2964348952MaRDI QIDQ2347472

Anna Jenčová, Sylvia Pulmannová, David J. Foulis

Publication date: 27 May 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.06374

zbMATH Keywords

projectionsynaptic algebrageneric positionPeirce decompositionCS-decomposition

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items (5)

Banach synaptic algebras ⋮ Every synaptic algebra has the monotone square root property ⋮ Spectral order on a synaptic algebra ⋮ Synaptic algebras as models for quantum mechanics ⋮ Kadison's antilattice theorem for a synaptic algebra

Cites Work

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• Type-decomposition of a synaptic algebra
• A gentle guide to the basics of two projections theory
• Projections in a synaptic algebra
• Spin factors as generalized Hermitian algebras
• Convex and linear effect algebras
• The commutator and solvability in a generalized orthomodular lattice
• Commutativity in a synaptic algebra
• Symmetries in synaptic algebras
• Synaptic algebras
• A note on ideals in synaptic algebras
• Jordan algebras of self-adjoint operators
• Two Subspaces

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