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arXiv · 1210.3398

Dixmier traces generated by exponentiation invariant generalised limits

Fedor Sukochev·Alexandr Usachev·Dmitriy Zanin
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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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Fedor Sukochev, Alexandr Usachev, Dmitriy Zanin. 2012-10-11. Dixmier traces generated by exponentiation invariant generalised limits. https://arxiv.org/abs/1210.3398

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