Enlargements of quantum logics
type: Item
instance of: scholarly article
title: Enlargements of quantum logics
zbMATH Open document ID: 0617.06006
author: Mirko Navara
author: Pavel Pták
author: Vladimír Rogalewicz
published in: Pacific Journal of Mathematics
publication date: 1988-01-01T00:00:00Z
review text: Let K be a quantum logic whose state space is nonvoid. Let B be a Boolean algebra and let C be a compact convex subset of a locally convex topological linear space. Then K can be embedded into a logic L such that the centre of L equals B and the state space of L equals C. (The result remains valid when we replace the word ''logic'' with ''orthomodular lattice''.)
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 81P10
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 46L30
zbMATH DE Number: 3999993
zbMATH Keywords: quantum logic
zbMATH Keywords: state space
zbMATH Keywords: Boolean algebra
zbMATH Keywords: locally convex topological linear space
zbMATH Keywords: centre
zbMATH Keywords: orthomodular lattice
MaRDI profile type: Publication
full work available at URL: pjm.1988.135.361
OpenAlex ID: W2011857373
DOI: 10.2140/PJM.1988.135.361
description: scientific article; zbMATH DE number 3999993