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Dixmier-type traces on symmetric spaces associated with semifinite von Neumann algebras.

Authors :
Levitina, Galina
Usachev, Alexandr
Source :
Annals of Functional Analysis. Apr2024, Vol. 15 Issue 2, p1-14. 14p.
Publication Year :
2024

Abstract

We prove that a normalised linear functional on certain symmetric spaces associated with a semifinite von Neumann algebra, respects tail majorisation if and only if it is a Dixmier-type trace. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
26397390
Volume :
15
Issue :
2
Database :
Academic Search Index
Journal :
Annals of Functional Analysis
Publication Type :
Academic Journal
Accession number :
176660280
Full Text :
https://doi.org/10.1007/s43034-024-00343-y