Dixmier Trace for Toeplitz Operators on Symmetric Domains

2015/08/19 by Harald Upmeier, Kai Wang, Upmeier, Harald +1
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.1508.04710

arxiv created 2015/08/19 · arxiv updated 2015/08/20

Abstract

For Toeplitz operators on bounded symmetric domains of arbitrary rank, we define a Hilbert quotient module corresponding to partitions of length 1 and prove that it belongs to the Macaev class L^n,∞. We next obtain an explicit formula for the Dixmier trace of Toeplitz commutators in terms of the underlying boundary geometry.

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