Nell'ambito delle iniziative del Seminario Matematico e Fisico di Milano,
il 10 giugno 2024 alle 16:30,
presso la Sala Consiglio, settimo piano del Dipartimento di Matematica,
Edificio 14 "La Nave", Politecnico di Milano,
si svolgerà il seguente seminario:
Dan Virgil Voiculescu (University of California, Berkeley)
On the Many Faces of the Quasicentral Modulus: from Perturbations of Operators to Noncommutative Condensers
Abstract: The talk will be about a number-the quasicentral modulus-associated with an n-tuple of bounded Hilbert space operators and a rearrangement invariant norm. It underlies the multivariable generalizations of the classical theorems of Weyl-von Neumann-Kuroda and Kato-Rosenblum in perturbation theory. On the other hand it provides an operator theory approach to Lebesgue measure and to certain other self-similar measures on fractals, as well as to the Kolmogorov-Sinai dynamical entropy. Recently a non-commutative analogy with condenser capacity in nonlinear potential theory is emerging.