Orthonormal bases and quasi-splitting subspaces in pre-Hilbert spaces

DOI10.1016/j.jmaa.2008.04.024zbMath1152.46014OpenAlexW2048197254MaRDI QIDQ932342

Emmanuel Chetcuti, Hans Weber, David Buhagiar

Publication date: 10 July 2008

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

Full work available at URL: https://www.um.edu.mt/library/oar//handle/123456789/18309

zbMATH Keywords

quasi-splitting subspaceorthonormal basepre-Hilbert space (= inner product space)

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05)

Related Items (7)

Pre-Hilbert spaces with anomalous splitting and orthogonally-closed subspace structures ⋮ Affiliated subspaces and infiniteness of von Neumann algebras ⋮ Order topology on orthocomplemented posets of linear subspaces of a pre-Hilbert space ⋮ Classes of invariant subspaces for some operator algebras ⋮ Probability structures in subspace lattice approach to foundations of quantum theory ⋮ On densely isomorphic normed spaces ⋮ Quasi-splitting subspaces and Foulis-Randall subspaces

Cites Work

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• Orthomodular structures as quantum logics. Transl. from the Slovak
• Lattice properties of subspace families in an inner product space
• Correction to: "Inner Product Spaces"
• Queries
• Inner Product Spaces
• Quasi‐splitting subspaces in a pre‐Hilbert space
• A remark on Piron's paper
• Quantum measure theory

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