Arens spaces associated with von Neumann algebras and normal states

Arens spaces associated with von Neumann algebras and normal states

In the present paper we introduce the notion of Arens space associated with a finite von Neumann algebra and a faithful normal finite state. Relations between these spaces and Arens algebras with respect to traces are investigated.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2010-03, Vol.14 (1), p.105-121
Hauptverfasser: Albeverio, S., Ayupov, Sh. A., Abdullaev, R. Z.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Banach spaces
Calculus of Variations and Optimal Control
Optimization
Econometrics
Exact sciences and technology
Fourier Analysis
Functional analysis
Mathematical analysis
Mathematical functions
Mathematics
Mathematics and Statistics
Operator Theory
Potential Theory
Sciences and techniques of general use
Studies
Vector space
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In the present paper we introduce the notion of Arens space associated with a finite von Neumann algebra and a faithful normal finite state. Relations between these spaces and Arens algebras with respect to traces are investigated.
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-009-0008-5