A general Extrapolation Theorem for absolutely summing operators

Abstract

In this note, we prove a general version of the Extrapolation Theorem for absolutely summing operators, extending the classical theorem due to B. Maurey ['Theoremes de factorisation pour les operateurs a valeurs dans les espaces L-p', Soc. Math. France, Asterisque 11, Paris, 1974]. Our result also contains the recent Extrapolation Theorem for Lipschitz p-summing operators as a particular case and also provides new extrapolation-type theorems.