Estimates for approximation numbers of some classes of composition operators on the Hardy space

DOI10.5186/aasfm.2013.3823zbMath1295.47011arXiv1206.1179OpenAlexW2049921626MaRDI QIDQ2860883

Daniel Li, Luis Rodríguez-Piazza, Hervé Queffélec

Publication date: 11 November 2013

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1179

zbMATH Keywords

Hardy spacemodulus of continuityapproximation numbersBlaschke productcomposition operatorSchatten classescusp map

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear composition operators (47B33) Blaschke products (30J10)

Related Items (12)

Rigidity of composition operators on the Hardy space \(H^{p}\) ⋮ Approximation numbers of composition operators on the Hardy and Bergman spaces of the ball and of the polydisk ⋮ Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions ⋮ Approximation and entropy numbers of composition operators ⋮ A spectral radius type formula for approximation numbers of composition operators ⋮ Approximation numbers of composition operators on \(H^{p}\) ⋮ Approximation numbers of weighted composition operators ⋮ Approximation numbers of composition operators on the Dirichlet space ⋮ Contact points and Schatten composition operators ⋮ An extremal composition operator on the Hardy space of the bidisk with small approximation numbers ⋮ Some examples of composition operators and their approximation numbers on the Hardy space of the bidisk ⋮ Decay rates for approximation numbers of composition operators

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