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math.OA2002
On the domain of singular traces
Daniele Guido, Tommaso Isola
The question whether an operator belongs to the domain of some singular trace is addressed, together with the dual question whether an operator does not belong to the domain of som…
math.OA2002
Dimensions and singular traces for spectral triples, with applications to fractals
Daniele Guido, Tommaso Isola
Given a spectral triple (A,D,H), the functionals on A of the form a -> tau_omega(a|D|^(-t)) are studied, where tau_omega is a singular trace, and omega is a generalised limit. When…