Orthogonality spaces of finite rank and the complex Hilbert spaces

DOI10.1142/S0219887819500804zbMath1421.81010OpenAlexW2920923678WikidataQ128215933 ScholiaQ128215933MaRDI QIDQ5232442

Thomas Vetterlein

Publication date: 3 September 2019

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887819500804

zbMATH Keywords

orthomodular latticeorthogonality spacecharacterization of the complex Hilbert spaceorthomodular space over an ordered \(\ast\)-field

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Related Items (8)

Transitivity and homogeneity of orthosets and inner-product spaces over subfields of \(\mathbb{R}\) ⋮ Semimodules over commutative semirings and modules over unitary commutative rings ⋮ A characterisation of orthomodular spaces by Sasaki maps ⋮ Categories of orthogonality spaces ⋮ Orthogonality spaces arising from infinite-dimensional complex Hilbert spaces ⋮ Normal orthogonality spaces ⋮ Gradual transitivity in orthogonality spaces of finite rank ⋮ Ortho-sets and Gelfand spectra

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