A general Extraplolation Theorem for absolutely summing operators

TL;DR

This paper extends the classical extrapolation theorem to a more general setting, allowing for non-linear operators and broadening the applicability of the theorem in functional analysis.

Contribution

It introduces a generalized extrapolation theorem that applies to both linear and non-linear operators, expanding the scope of previous results.

Findings

Generalized extrapolation theorem for non-linear operators

Extension of Maurey's classical linear extrapolation theorem

Broader applicability in operator theory

Abstract

In this note we prove a general version of the Extrapolation Theorem, extending the classical linear extrapolation theorem due to B. Maurey. Our result shows, in particular, that the operators involved do not need to be linear.