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arXiv · 2006.14456

The Formula for the Quasicentral Modulus in the Case of Spectral Measures on Fractals

Dan-Virgil Voiculescu
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Abstract

We prove a general ampliation homogeneity result for the quasicentral modulus of an n-tuple of operators with respect to the (p,1) Lorentz normed ideal. We use this to prove a formula involving Hausdorff measure for the quasicentral modulus of n-tuples of commuting Hermitian operators the spectrum of which is contained in certain Cantor-like self-similar fractals.

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Dan-Virgil Voiculescu. 2020-06-25. The Formula for the Quasicentral Modulus in the Case of Spectral Measures on Fractals. https://arxiv.org/abs/2006.14456

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