\(Qu^*\)-algebras and twisted product
type: Item
instance of: scholarly article
title: \(Qu^*\)-algebras and twisted product
zbMATH Open document ID: 0695.47038
author: Gerd Lassner
author: Gisela A. Lassner
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1989-01-01T00:00:00Z
review text: The Weyl quantization of classical observations leads to unbounded operators which cannot be multiplied in any cases. Minding this, the authors have defined \(Qu^*\)-algebras which are unbounded operators with partial multiplication, and shown the fundamental properties. Furthermore, the class of \(CQ^*\)-algebras, which are a natural generalization of \(C^*\)-algebras to the case of unbounded operators has been introduced.
Mathematics Subject Classification ID: 47L60
zbMATH DE Number: 4138602
zbMATH Keywords: Weyl quantization of classical observations
zbMATH Keywords: unbounded operators which cannot be multiplied
zbMATH Keywords: \(Qu^*\)-algebras
zbMATH Keywords: unbounded operators with partial multiplication
reviewed by: Ayumu Inoue
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195173612
OpenAlex ID: W2001978634
cites work: Partial inner product spaces. II: Operators
cites work: Q3679765
cites work: Partial *-algebras of closed linear operators in Hilbert space
cites work: On a certain class of *-algebras of unbounded operators
cites work: Continuity statements and counterintuitive examples in connection with Weyl quantization
cites work: V*-algebras: A particular class of unbounded operator algebras
cites work: Q4189689
cites work: A generalized Weyl correspondence: Applications
cites work: Homomorphisms and direct sums of nested Hilbert spaces
cites work: An algebra of pseudodifferential operators and quantum mechanics in phase space
cites work: The weyl calculus of pseudo-differential operators
cites work: A class of unbounded operator algebras
cites work: Q4747059
cites work: The completion of the maximal \(Op^ *\)-algebra on a Frechet domain
cites work: Q3941916
cites work: Algebras of unbounded operators and quantum dynamics
cites work: On the continuity of entropy
cites work: Normal states on algebras of unbounded operators
cites work: Classification of domains of operator algebras
cites work: Operator symbols in the description of observable-state systems
cites work: An expansion theorem for the twisted product with applications
cites work: Mathematical Aspects of the Weyl Correspondence
cites work: On topologization of unbounded operator algebras
cites work: On trace representation of linear functionals on unbounded operator algebras
cites work: Ideals in Algebras of Unbounded Operators
cites work: Ideals in algebras of unbounded operators. II
cites work: An algebra of pseudodifferential operators and the asymptotics of quantum mechanics
cites work: Q5803039
DOI: 10.2977/PRIMS/1195173612
description: scientific article; zbMATH DE number 4138602