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BMC. The First Balkan Mathematics Conference

From perturbations of operators to noncommutative condensers

Dan-Virgil Voiculescu
University of California, Berkeley, USA

Abstract:

The quasicentral modulus plays a key role in normed ideal perturbations of Hilbert space operators, in the multivariable analogues of the Weyl - von Neumann - Kuroda and Kato - Rosenblum theorems. I will explain a non-commutative analogy with condenser capacity in nonlinear potential theory.