On interpolation properties of compact bilinear operators

descriptionPublicationkeyboard_double_arrow_right Article 09 Jan 2017 English Publisher:WileyJournal:Mathematische Nachrichten, volume 290, pages 1,663-1,677 (issn: 0025-584X, eissn: 1522-2616,

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Authors: Fernández-Cabrera, Luz M.; Martínez, Antón;

doi: 10.1002/mana.201600203

On interpolation properties of compact bilinear operators

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Abstract

We investigate interpolation properties of compact bilinear operators under the general real method. Results apply in particular to the real method with a function parameter and also to the complex method in the special case when the couple in the target reduces to a single Banach space or the source is a product of two fixed Banach spaces.

Related Organizations

Complutense University of Madrid
Spain
Universidade de Vigo
Spain

Keywords

real interpolation, (Spaces of) multilinear mappings, polynomials, Interpolation between normed linear spaces, Linear operators defined by compactness properties, interpolation with a parameter function, compact bilinear operators, convolution of sequences, Compactness in Banach (or normed) spaces

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