Pre-Hilbert spaces with anomalous splitting and orthogonally-closed subspace structures

DOI10.1002/MANA.201200331zbMath1318.46011OpenAlexW1841021368MaRDI QIDQ2929423

David Buhagiar, Hans Weber, Emmanuel Chetcuti

Publication date: 12 November 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201200331

zbMATH Keywords

inner product spacepre-Hilbert spacesplitting subspacequasi-splitting subspaceRiesz interpolation propertyorthogonally-closed subspace

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Cites Work

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• Quasi‐splitting subspaces in a pre‐Hilbert space
• A remark on Piron's paper
• Partial Solution to Mackey's Problem about Modular Pairs and Completeness

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