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The Butterfly lemma

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Feb 2022Embargo end date: 01 Jan 2021 English Publisher:Elsevier BVJournal:Nonlinear Analysis, volume 215, page 112,630 (issn: 0362-546X,

Authors: Jesús M.F. Castillo; Daniel Morales;

doi: 10.1016/j.na.2021.112630 , 10.48550/arxiv.2110.06291

arXiv: http://arxiv.org/abs/2110.06291

The Butterfly lemma

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Abstract

The Butterfly lemma we present can be considered a reiteration theorem for differentials generated from a complex interpolation process for families of K��the 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.

This paper is to appear in Nonlinear Analisis - TMA

Related Organizations

University of Extremadura
Spain

Keywords

Mathematics - Functional Analysis, FOS: Mathematics, Functional Analysis (math.FA)

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