The Formula For The Quasicentral Modulus In The Case Of Spectral Measures On Fractals

JOURNAL OF FRACTAL GEOMETRY（2021）

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摘要

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 whose spectrum is contained in certain Cantor-like self-similar fractals.

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关键词

Lorentz (p, 1) normed ideal, p-Hausdorff measure, quasicentral modulus

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