s-numbers of singular integrals for the invariance of absolutely continuous spectra in fractional dimensions
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Publication:808407
DOI10.1016/0022-1236(90)90026-HzbMath0732.47023MaRDI QIDQ808407
Guy David, Dan-Virgil Voiculescu
Publication date: 1990
Published in: Journal of Functional Analysis (Search for Journal in Brave)
kernelsabsolutely continuous spectrummultiplication operatorsasymptotic behaviour of the s-numberscompactly supported positive Radon measure
Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear operators on function spaces (general) (47B38)
Related Items (15)
The formula for the quasicentral modulus in the case of spectral measures on fractals ⋮ DIAGONALIZATION MODULO NORM IDEALS AND HAUSDORFF DIMENSIONALITY ⋮ Capacity and the quasicentral modulus ⋮ Diagonalization modulo norm ideals with Lipschitz estimates ⋮ Diagonalization modulo a class of Orlicz ideals ⋮ Entropy of dynamical systems and perturbations of operators ⋮ Quasicentral modulus and self-similar sets: a supplementary result to Voiculescu's work ⋮ Miscellaneous on commutants mod normed ideals and quasicentral modulus. I ⋮ Fuglede commutations modulo Lorentz ideals ⋮ Commutants mod normed ideals ⋮ Hybrid normed ideal perturbations of \(n\)-tuples of operators. I ⋮ A condition for diagonalization modulo arbitrary norm ideals ⋮ On the existence of quasicentral approximate units relative to normed ideals. I ⋮ Diagonalization and unitary equivalence modulo Schatten \(p\)-classes ⋮ Singular integral operators and norm ideals satisfying a quantitative variant of Kuroda's condition
Cites Work
- Nearly weakly orthonormal sequences, singular value estimates, and Calderon-Zygmund operators
- On the existence of quasicentral approximate units relative to normed ideals. I
- Une Minoration de la Norme de L'Operateur de Cauchy Sur Les Graphes Lipschitziens
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