On the distinction between the classes of Dixmier and Connes-Dixmier traces
Sukochev, Fedor · Usachev, Alexandr · Zanin, Dmitriy
Original · EN
In the present paper we prove that the classes of Dixmier and Connes-Dixmier traces differ even on the Dixmier ideal M₁,∞. We construct a Marcinkiewicz space Mψ and a positive operator T∈ Mψ which is Connes-Dixmier measurable but which is not Dixmier measurable.
English translation
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