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oai:docta.ucm.es:20.500.14352/346622025-08-08T14:01:52Zcom_20.500.14352_14col_20.500.14352_15

Abstract extrapolation theorems for absolutely summing nonlinear operators Botelho, G. Pellegrino, Daniel Santos, J Seoane Sepúlveda, Juan Benigno 51 Extrapolation theorem Absolutely summing operator Matemáticas (Matemáticas) 12 Matemáticas In this paper we prove a general version of the extrapolation theorem for absolutely summing nonlinear operators. It is explicitly shown that this result encompasses the previous old and recent, linear and nonlinear extrapolation theorems as particular cases. One of the steps of the proof provides another nonlinear extrapolation theorem of independent interest. CNPq Fapemig Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-19T14:54:07Z 2023-06-19T14:54:07Z 2015 journal article https://hdl.handle.net/20.500.14352/34662 0022-247X 10.1016/j.jmaa.2014.07.036 eng Grant 302177/2011-6 Grant PPM-00326-13. Grant 401735/2013-3 (PVE – Linha 2) Edital Universal 14/2012 restricted access application/pdf Elsevier