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arXiv · 2109.07633

The condenser quasicentral modulus

Dan-Virgil Voiculescu
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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 variational problems. Part of the results are in the more general setting of a semifinite von Neumann algebra.

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Dan-Virgil Voiculescu. 2021-09-16. The condenser quasicentral modulus. https://arxiv.org/abs/2109.07633

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