Hybrid normed ideal perturbations of \(n\)-tuples of operators. I

DOI10.1016/J.GEOMPHYS.2018.02.016zbMath1455.47028arXiv1711.05883OpenAlexW2770178394MaRDI QIDQ1747952

Dan-Virgil Voiculescu

Publication date: 27 April 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.05883

zbMATH Keywords

absolutely continuous \(n\)-dimensional spectral measurehybrid normed ideal perturbationmixed homogeneity singular integralmodulus of quasicentral approximationVoiculescu non-commutative Weyl-von Neumann theorem

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Abstract operator algebras on Hilbert spaces (47L30) Operator ideals (47L20)

Related Items (3)

The formula for the quasicentral modulus in the case of spectral measures on fractals ⋮ Diagonality modulo hybrid Lorentz-\((p,1)\) ideals in semifinite factors ⋮ Commutants mod normed ideals

Cites Work

• s-numbers of singular integrals for the invariance of absolutely continuous spectra in fractional dimensions
• Notes on extensions of \(C^*\)-algebras
• \(K\)-theory and perturbations of absolutely continuous spectra
• On the existence of quasicentral approximate units relative to normed ideals. I
• On the spectral characterization of manifolds
• Dixmier trace, Fredholm modules and Riemannian geometry
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