Li, DanielQueffélec, HervéRodríguez Piazza, Luis2016-09-292016-09-292012-04Li, D., Queffélec, H. y Rodríguez Piazza, L. (2012). On approximation numbers of composition operators. Journal of Approximation Theory, 164 (4), 431-459.0021-9045http://hdl.handle.net/11441/46366We show that the approximation numbers of a compact composition operator on the weighted Bergman spaces Bα of the unit disk can tend to 0 arbitrarily slowly, but that they never tend quickly to 0: they grow at least exponentially, and this speed of convergence is only obtained for symbols which do not approach the unit circle. We also give an upper bounds and explicit an example.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Approximation numberBergman spaceCarleson measureComposition operatorHardy spaceInterpolation sequenceReproducing kernelWeighted Bergman spaceWeighted shiftinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.jat.2011.12.003