Some characterizations of the underlying division ring of a Hilbert lattice by automorphisms

DOI10.1023/A:1026669407606zbMath0904.06009OpenAlexW1514054058MaRDI QIDQ1264380

René Mayet

Publication date: 27 October 1998

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026669407606

zbMATH Keywords

division ringHilbert latticegeneralized Hilbert spaceorthomodular spaceortholattice automorphisms

Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15) Complemented lattices, orthocomplemented lattices and posets (06C15) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (13)

Transitivity and homogeneity of orthosets and inner-product spaces over subfields of \(\mathbb{R}\) ⋮ Complete axiomatizations for quantum actions ⋮ The dynamic turn in quantum logic ⋮ A characterisation of orthomodular spaces by Sasaki maps ⋮ Quantum states: an analysis via the orthogonality relation ⋮ Lattice properties of subspace families in an inner product space ⋮ Duality for the logic of quantum actions ⋮ Orthogonality spaces arising from infinite-dimensional complex Hilbert spaces ⋮ Quantum logic as a dynamic logic ⋮ Gradual transitivity in orthogonality spaces of finite rank ⋮ Quantum logic, Hilbert space, revision theory ⋮ Partial quantum logics revisited ⋮ Orthogonality spaces of finite rank and the complex Hilbert spaces

This page was built for publication: Some characterizations of the underlying division ring of a Hilbert lattice by automorphisms