Convex effect algebras, state ordered effect algebras, and ordered linear spaces
type: Item
instance of: scholarly article
title: Convex effect algebras, state ordered effect algebras, and ordered linear spaces
zbMATH Open document ID: 0963.46004
DOI: 10.1016/S0034-4877(00)80005-1
published in: Reports on Mathematical Physics
publication date: 2001-06-19T00:00:00Z
review text: The authors abstract the order interval \([0,u]\) of an ordered Banach space with order-unit \(u\). This interval with restricted addition and scalar multiplication gives an example of convex effect algebra in ad hoc terminology. The authors give a realization theory for the objects under study to embed into the order interval of an appropriate space of continuous functions.
Mathematics Subject Classification ID: 46A40
Mathematics Subject Classification ID: 46B40
zbMATH DE Number: 1507659
zbMATH Keywords: order interval
zbMATH Keywords: Banach ordered space with order-unit
zbMATH Keywords: convex effect algebra
author: Sławomir Bugajski
author: Stan Gudder
author: Sylvia Pulmannová
reviewed by: S. S. Kutateladze
MaRDI profile type: Publication
cites work: Q5611281
cites work: On Non-Commutative Spectral Theory and Jordan Algebras
cites work: Effect algebras and statistical physical theories
cites work: Interval and scale effect algebras
cites work: Full families of states and functional representations of observables
cites work: Fundamentals of fuzzy probability theory
cites work: Algebraic Analysis of Many Valued Logics
cites work: Q4244854
cites work: Fuzzy set representations of some quantum structures
cites work: Weakly divisible MV-algebras and product
cites work: The center of an effect algebra
cites work: FUZZY PROBABILITY THEORY
cites work: Q4675502
cites work: Quotients of partial abelian monoids
cites work: Convex and linear effect algebras
cites work: When the topology of and infinite-dimensional Banach space coincides with a Hilbert space topology
cites work: Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
cites work: Averaging the truth-value in Łukasiewicz logic
cites work: Q3997462
cites work: Q4836216
cites work: Q4840833
cites work: Q4360148
cites work: Q4042131
cites work: Moment problem for effect algebras
full work available at URL: s0034-4877(00)80005-1
OpenAlex ID: W2022198900
Wikidata QID: Q127372227
description: scientific article; zbMATH DE number 1507659