The condenser quasicentral modulus
Dan-Virgil Voiculescu
University of California at Berkeley, Berkeley, USA
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Abstract
We introduced the quasicentral modulus to study normed ideal perturbations of operators. It is a limit of condenser quasicentral moduli in view of a recently noticed analogy with capacity in nonlinear potential theory. We prove here some basic properties of the condenser quasicentral modulus and compute a simple example. We also discuss some associated noncommutative variational problems. Part of the results are in the more general setting of a semifinite von Neumann algebra.
Cite this article
Dan-Virgil Voiculescu, The condenser quasicentral modulus. Quantum Topol. (2024), published online first
DOI 10.4171/QT/208