Normal orthogonality spaces

DOI10.1016/j.jmaa.2021.125730OpenAlexW3205412215MaRDI QIDQ2247704

Jan Paseka, Thomas Vetterlein

Publication date: 17 November 2021

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125730

zbMATH Keywords

Hilbert spaceorthogonality spaceBoolean subalgebraorthosetnormal orthogonality space

Mathematics Subject Classification ID

Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx) Algebraic logic (03Gxx) Modular lattices, complemented lattices (06Cxx)

Related Items (3)

Linear orthosets and orthogeometries ⋮ Finitary prelinear and linear orthosets ⋮ Orthogonality spaces associated with posets

Cites Work

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• Orthogonality and dimensionality
• Logicoalgebraic structures. II: Supports in test spaces
• L-algebras with duality and the structure group of a set-theoretic solution to the Yang-Baxter equation
• Gradual transitivity in orthogonality spaces of finite rank
• Orthogonality spaces arising from infinite-dimensional complex Hilbert spaces
• A Canonical Factorization for Graph Homomorphisms
• Orthogonality spaces of finite rank and the complex Hilbert spaces
• Ortho-sets and Gelfand spectra

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