Recent progress on pre-Hilbert-space logics and their measure spaces
type: Item
instance of: scholarly article
title: Recent progress on pre-Hilbert-space logics and their measure spaces
zbMATH Open document ID: 1110.81308
published in: International Journal of Theoretical Physics
publication date: 2007-01-29T00:00:00Z
Mathematics Subject Classification ID: 81P10
Mathematics Subject Classification ID: 81-02
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 06C15
zbMATH DE Number: 5119658
zbMATH Keywords: inner product space (pre-Hilbert space)
zbMATH Keywords: orthogonally closed subspace
zbMATH Keywords: splitting subspace
zbMATH Keywords: quasi-splitting subspace
zbMATH Keywords: charge 2003
author: Emmanuel Chetcuti
author: Anatolij Dvurečenskij
MaRDI profile type: Publication
full work available at URL: s10773-005-8013-3
OpenAlex ID: W2022667563
cites work: A remark on Piron's paper
cites work: Q4680236
cites work: Quasi‐splitting subspaces in a pre‐Hilbert space
cites work: Completeness of inner product spaces with respect to splitting subspaces
cites work: Range of charges on orthogonally closed subspaces of an inner product space
cites work: A finitely additive state criterion for the completeness of inner product spaces
cites work: Boundedness of sign-preserving charges, regularity, and the completeness of inner product spaces
cites work: The existence of finitely additive states on orthogonally closed subspaces of incomplete inner product spaces
cites work: Measures on the splitting subspaces of an inner product space
cites work: THE STATE-SPACE OF THE LATTICE OF ORTHOGONALLY CLOSED SUBSPACES
cites work: Sequential convergence of regular measures on prehilbert space logics
cites work: Generalization of Gleason's theorem
cites work: Q4149745
cites work: Completeness of inner product spaces and quantum logic of splitting subspaces
cites work: Q3136420
cites work: Gleason's theorem and completeness criteria
cites work: A new algebraic criterion for completeness of inner product spaces
cites work: A signed measure completeness criterion
cites work: On states on orthogonally closed subspaces of an inner product space
cites work: The theorem of Gleason for non-separable Hilbert spaces
cites work: Q3245484
cites work: Correction to: "Inner Product Spaces"
cites work: On the definition of Hilbert space
cites work: Quantum measure theory
cites work: A Completeness Criterion for Inner Product Spaces
cites work: Partial Solution to Mackey's Problem about Modular Pairs and Completeness
cites work: Q5641333
cites work: Q4750696
cites work: Q3803173
cites work: Ein nicht-klassischer Hilbertscher Raum
cites work: Q5623714
cites work: Q4735193
cites work: Orthomodular structures as quantum logics. Transl. from the Slovak
cites work: Q4395663
cites work: Lattice properties of subspace families in an inner product space
cites work: Q3376387
cites work: Q4059142
cites work: Characterization of hilbert spaces by orthomodular spaces
cites work: Q3702812
cites work: Q3256710
DOI: 10.1007/S10773-005-8013-3
description: scientific article; zbMATH DE number 5119658