The formula for the quasicentral modulus in the case of spectral measures on fractals

  • Dan-Virgil Voiculescu

    University of California at Berkeley, USA
The formula for the quasicentral modulus in the case of spectral measures on fractals cover
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Abstract

We prove a general ampliation homogeneity result for the quasicentral modulus of an -tuple of operators with respect to the Lorentz normed ideal. We use this to prove a formula involving Hausdorff measure for the quasicentral modulus of -tuples of commuting Hermitian operators whose spectrum is contained in certain Cantor-like selfsimilar fractals.

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Dan-Virgil Voiculescu, The formula for the quasicentral modulus in the case of spectral measures on fractals. J. Fractal Geom. 8 (2021), no. 4, pp. 347–361

DOI 10.4171/JFG/108