The Butterfly lemma
Functional Analysis
2021-10-14 v1
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.
Keywords
Cite
@article{arxiv.2110.06291,
title = {The Butterfly lemma},
author = {Jesús M. F. Castillo and Daniel Morales},
journal= {arXiv preprint arXiv:2110.06291},
year = {2021}
}
Comments
This paper is to appear in Nonlinear Analisis - TMA