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- Perturbation theory of commuting self-adjoint operators
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Tuesday, 21 February 2023
Abstract
In this talk, I give an overview of the perturbation theory of commuting self-adjoint operators developed by Voiculescu, which generalizes the classical Weyl-von Neumann theorem and Kato-Rosenblum theorem.
Quasicentral modulus of a tuple of operators with respect to a normed ideal plays an essential role in the theory, and we present an example of its computation in the case where the joint spectrum of the tuple is contained in a self-similar set.
Speaker
Masaki Izumi
Research area
Pure Mathematics
Affilation
Kyoto University
Date
Tuesday 21 February 2023, 12:05 pm
Location
RC-4082