VON NEUMANN ALGEBRA PREDUALS SATISFY THE LINEAR BIHOLOMORPHIC PROPERTY

VON NEUMANN ALGEBRA PREDUALS SATISFY THE LINEAR BIHOLOMORPHIC PROPERTY

We prove that for every JBW*-triple E of rank > 1, the symmetric part of its predual reduces to zero. Consequently, the predual of every infinite dimensional von Neumann algebra A satisfies the linear biholomorphic property, that is, the symmetric part of A* is zero.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mathematica scandinavica 2016-01, Vol.118 (2), p.277-284
Hauptverfasser: PERALTA, ANTONIO M., STACHÓ, LÁSZLÓ L.
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We prove that for every JBW*-triple E of rank > 1, the symmetric part of its predual reduces to zero. Consequently, the predual of every infinite dimensional von Neumann algebra A satisfies the linear biholomorphic property, that is, the symmetric part of A* is zero.
ISSN:0025-5521
1903-1807
DOI:10.7146/math.scand.a-23689