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

DOI10.4171/JFG/108zbMath1492.47022arXiv2006.14456OpenAlexW3200167528MaRDI QIDQ824357

Dan-Virgil Voiculescu

Publication date: 15 December 2021

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.14456

zbMATH Keywords

\(p\)-Hausdorff measureLorentz \((p,1)\) normed idealquasicentral modulus

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Perturbation theory of linear operators (47A55) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (2)

Quasicentral modulus and self-similar sets: a supplementary result to Voiculescu's work ⋮ Miscellaneous on commutants mod normed ideals and quasicentral modulus. I

Cites Work

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• s-numbers of singular integrals for the invariance of absolutely continuous spectra in fractional dimensions
• Hybrid normed ideal perturbations of \(n\)-tuples of operators. I
• On the existence of quasicentral approximate units relative to normed ideals. I
• On the spectral characterization of manifolds
• Commutants mod normed ideals

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