Linear Radon-Nikodym theorems for states on JBW and \(W^ *\) algebras
type: Item
instance of: scholarly article
title: Linear Radon-Nikodym theorems for states on JBW and \(W^ *\) algebras
zbMATH Open document ID: 0609.46040
author: Bruno Iochum
author: Hideki Kosaki
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1985-01-01T00:00:00Z
review text: Linear Radon-Nikodym theorems for states on a von Neumann algebra are obtained in the context of a one parameter family of positive cones. Expecially, necessary and sufficient conditions for existence of linear Radon-Nikodym derivatives are investigated. In the natural cone case we consider Jordan Banach algebras.
Mathematics Subject Classification ID: 46L70
Mathematics Subject Classification ID: 46L30
Mathematics Subject Classification ID: 17C65
zbMATH DE Number: 3985941
zbMATH Keywords: Linear Radon-Nikodym theorems for states on a von Neumann algebra
zbMATH Keywords: one parameter family of positive cones
zbMATH Keywords: Jordan Banach algebras
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195178512
OpenAlex ID: W1970159979
cites work: Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule
cites work: Positive cones and \(L^p\)-spaces for von Neumann algebras
cites work: Caractérisation des espaces vectoriels ordonnés sous jacents aux algèbres de Von Neumann
cites work: The flow of weights on factors of type III
cites work: The standard form of von Neumann algebras.
cites work: Operator valued weights in von Neumann algebras. I
cites work: Q3683030
cites work: Q3935706
cites work: Linear Radon-Nikodym theorems for states on a von Neumann algebra
cites work: Q4112492
cites work: Shorter Notes: The Operator Equation THT = K
cites work: Q4066072
cites work: Tomita's theory of modular Hilbert algebras and its applications
DOI: 10.2977/PRIMS/1195178512
description: scientific article; zbMATH DE number 3985941