A general Extrapolation Theorem for absolutely summing operators

作者:Pellegrino D*; Santos J; Seoane Sepulveda J B
来源:Bulletin of the London Mathematical Society, 2012, 44: 1292-1302.
DOI:10.1112/blms/bds064

摘要

In this note, we prove a general version of the Extrapolation Theorem for absolutely summing operators, extending the classical theorem due to B. Maurey [%26apos;Theoremes de factorisation pour les operateurs a valeurs dans les espaces L-p%26apos;, 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.

  • 出版日期2012-12