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The Butterfly lemma

The Butterfly lemma

Authors :
Castillo, Jesús M. F.
Morales, Daniel
Publication Year :
2021

Abstract

The Butterfly lemma we present can be considered a reiteration theorem for differentials generated from a complex interpolation process for families of K\"othe spaces. The lemma will be used to clarify the effect of different configurations in the resulting differential (because although interpolation is an orientation-free process, the obtention of differentials is not) and to round off a few aspects of Kalton's interpolation theorem.<br />Comment: This paper is to appear in Nonlinear Analisis - TMA

Subjects

Subjects :
Mathematics - Functional Analysis

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2110.06291
Document Type :
Working Paper