The integral on quantum probability spaces is monotonic
type: Item
instance of: scholarly article
title: The integral on quantum probability spaces is monotonic
zbMATH Open document ID: 0581.60098
DOI: 10.1016/0034-4877(85)90018-7
author: Ján Šipoš
published in: Reports on Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: We show that the integral on quantum probability spaces and on generalized measure spaces preserves the ordering of functions. This result answers the question posed by \textit{S. Gudder}, Found. Probab. Theor., stat. Inference, stat. Theor. Sci., Vol. III, Proc. int. Res. Colloq., London/Can. 1973, 121-141 (1976; Zbl 0329.60004).
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 81P20
zbMATH DE Number: 3930106
zbMATH Keywords: quantum probability spaces
zbMATH Keywords: ordering of functions
MaRDI profile type: Publication
full work available at URL: 0034-4877(85)90018-7
OpenAlex ID: W2034619183
cites work: Quantum Probability Spaces
cites work: Q4095603
cites work: The integral on \(\sigma\)-classes is monotonic
cites work: A Note on Quantum Probability Spaces
cites work: Q3856990
cites work: Q3884340
description: scientific article; zbMATH DE number 3930106