Article
A spectral radius type formula for approximation numbers of composition operators
Author/s | Li, Daniel
Queffélec, Hervé Rodríguez Piazza, Luis |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2014-12-15 |
Deposit Date | 2016-09-29 |
Published in |
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Abstract | For approximation numbers an(Cφ) of composition operators Cφ on weighted analytic Hilbert spaces, including the Hardy, Bergman and Dirichlet cases, with symbol φ of uniform norm <1, we prove that limn→∞[an(Cφ)]1/n=e−1 ... For approximation numbers an(Cφ) of composition operators Cφ on weighted analytic Hilbert spaces, including the Hardy, Bergman and Dirichlet cases, with symbol φ of uniform norm <1, we prove that limn→∞[an(Cφ)]1/n=e−1/Cap[φ(D)], where Cap[φ(D)] is the Green capacity of φ(D) in D. This formula holds also for Hp with 1≤p<∞. |
Funding agencies | Ministerio de Economía y Competitividad (MINECO). España |
Project ID. | info:eu-repo/grantAgreement/MINECO/MTM2012-05622 |
Citation | Li, D., Queffélec, H. y Rodríguez Piazza, L. (2014). A spectral radius type formula for approximation numbers of composition operators. Journal of Functional Analysis, 267 (12), 4753-4774. |
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