Classification of traces and hypertraces on spaces of classical pseudodifferential operators

URN to cite this document:: urn:nbn:de:bvb:355-epub-205128
DOI to cite this document:: 10.5283/epub.20512

Lesch, Matthias ; Neira-Jiménez, Carolina

Preview

PDF
(457kB)

Date of publication of this fulltext: 18 Apr 2011 06:46

Details

Item type:	Monograph (Working Paper)
Series of the University of Regensburg:	Preprintreihe der Fakultät Mathematik
Volume:	10/2011
Date:	2011
Institutions:	Mathematics > Prof. Dr. Bernd Ammann
Dewey Decimal Classification:	500 Science > 510 Mathematics
Status:	Unpublished
Refereed:	No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:	Yes
Item ID:	20512

Preview

Export bibliographical data

Abstract

Let M be a closed manifold and let CL•(M) be the algebra of classical pseudodifferential operators. The aim of this note is to classify trace functionals on the subspaces CLa(M) ⊂ CL•(M) of operators of order a. CLa(M) is a CL0(M)–module for any real a; it is an algebra only if a is a non–positive integer. Therefore, it turns out to be useful to introduce the notions of pretrace and hypertrace. ...