Dixmier traces generated by exponentiation invariant generalised limits

2012/10/11 by Fedor Sukochev, Sukochev, Fedor, Alexandr Usachev +3
Mathematics · #46L52 #58B34 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA #msc:46L52 #msc:58B34

paper · pdf · doi:10.48550/arxiv.1210.3398

arxiv created 2012/10/11 · arxiv updated 2012/10/15

Abstract

We define a new class of singular positive traces on the ideal \mathcal M_1,∞ of B(H) generated by exponentiation invariant generalized limits. We prove that this new class is strictly contained in the class of all Dixmier traces. We also prove a Lidskii-type formula for this class of traces.

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