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Dixmier traces generated by exponentiation invariant generalised limits

Published 11 Oct 2012 in math.OA and math.FA | (1210.3398v1)

Abstract: We define a new class of singular positive traces on the ideal $\mathcal M_{1,\infty}$ 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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