Integral decomposition of partial *-algebras of closed operators
type: Item
instance of: scholarly article
title: Integral decomposition of partial *-algebras of closed operators
zbMATH Open document ID: 0636.47037
author: Françoise D. Mathot
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1986-01-01T00:00:00Z
review text: A method of direct integral decomposition for very general classes of unbounded closed operators is developed. This method is applied to the reduction theory of partial *-algebras and Op\({}^*\)-algebras. As a consequence, representations of partial *-algebras are decomposed into irreducible ones and some states are decomposed into extremal states.
Mathematics Subject Classification ID: 47L60
Mathematics Subject Classification ID: 46L45
zbMATH DE Number: 4036549
zbMATH Keywords: direct integral decomposition
zbMATH Keywords: unbounded closed operators
zbMATH Keywords: partial *- algebras
zbMATH Keywords: \(Op^ *\)-algebras
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195177628
OpenAlex ID: W2010420116
cites work: Q3766323
cites work: Q3766324
DOI: 10.2977/PRIMS/1195177628
description: scientific article; zbMATH DE number 4036549