5 citations · 15 across the 4 of their papers we have counts for
11 papers
The problem of completeness for Gromov-Hausdorff metrics on C*-algebras
Daniele Guido, Tommaso Isola
It is proved that the family of equivalence classes of Lip-normed C*-algebras introduced by M. Rieffel, up to isomorphisms preserving the Lip-seminorm, is not complete w.r.t. the m…
Tangential dimensions II. Measures
Daniele Guido, Tommaso Isola
Notions of (pointwise) tangential dimension are considered, for measures of R^n. Under regularity conditions (volume doubling), the upper resp. lower dimension at a point x of a me…
Tangential dimensions I. Metric spaces
Daniele Guido, Tommaso Isola
Pointwise tangential dimensions are introduced for metric spaces. Under regularity conditions, the upper, resp. lower, tangential dimensions of X at x can be defined as the supremu…
On the characterisation of paired monotone metrics
P. Gibilisco, T. Isola
Hasegawa and Petz introduced the notion of dual statistically monotone metrics. They also gave a characterisation theorem showing that Wigner-Yanase-Dyson metrics are the only memb…
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…
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…