REFINEMENTS OF SPECTRAL RESOLUTIONS AND MODELLING OF OPERATORS IN II1FACTORS

REFINEMENTS OF SPECTRAL RESOLUTIONS AND MODELLING OF OPERATORS IN II1FACTORS

We study refinements between spectral resolutions in an arbitrary II1 factor M and obtain diffuse (maximal) refinements of spectral resolutions. We construct models of operators with respect to diffuse spectral resolutions. As an application we obtain new characterizations of sub-majorization and sp...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of operator theory 2008-04, Vol.59 (2), p.247-262
1. Verfasser: MASSEY, PEDRO G.
Format: Artikel
Sprache:eng
Schlagworte:
Atoms
Continuous functions
Mass spectroscopy
Mathematical functions
Mathematical inequalities
Mathematics
Operator theory
Spectral resolution
Urelements
Von Neumann algebra
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We study refinements between spectral resolutions in an arbitrary II1 factor M and obtain diffuse (maximal) refinements of spectral resolutions. We construct models of operators with respect to diffuse spectral resolutions. As an application we obtain new characterizations of sub-majorization and spectral preorder between positive operators in M and new versions of some known inequalities involving these preorders.
ISSN:0379-4024
1841-7744