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math.OA2012
Dixmier traces generated by exponentiation invariant generalised limits
Fedor Sukochev, Alexandr Usachev, Dmitriy Zanin
We define a new class of singular positive traces on the ideal of generated by exponentiation invariant generalized limits. We prove that this new cl…
math.OA2012
On the distinction between the classes of Dixmier and Connes-Dixmier traces
Fedor Sukochev, Alexandr Usachev, Dmitriy Zanin
In the present paper we prove that the classes of Dixmier and Connes-Dixmier traces differ even on the Dixmier ideal . We construct a Marcinkiewicz space $\m…