Some real interpolation methods for families of Banach spaces: A comparison
type: Item
instance of: scholarly article
title: Some real interpolation methods for families of Banach spaces: A comparison
zbMATH Open document ID: 0892.46015
author: Ludmila Nikolova
author: Jaak Peetre
author: Lars-Erik Persson
author: María J. Carro
published in: Journal of Approximation Theory
publication date: 1998-07-20T00:00:00Z
review text: The authors investigate real interpolation procedures between families of Banach spaces \(A(\gamma)\) indexed by the unit circle \({\mathbb T}\subset {\mathbb C}\) to yield spaces \(A(z)\) labelled by the unit disk. In particular, the authors study new interpolation methods by passing to the limit in the constructions by \textit{G. Sparr} [Ann. Mat. pura appl., IV. Ser. 99, 247-316 (1974; Zbl 0282.46022)] and \textit{F. Cobos} and \textit{J. Peetre} [Proc. Lond. Math. Soc., III. Ser. 63, 371-400 (1991; Zbl 0727.46053)], and they give sharp estimates of the corresponding operator norms.
Mathematics Subject Classification ID: 46B70
Mathematics Subject Classification ID: 46M35
zbMATH DE Number: 1016788
zbMATH Keywords: real interpolation spaces
zbMATH Keywords: interpolation for families of Banach spaces
reviewed by: Dirk Werner
MaRDI profile type: Publication
full work available at URL: jath.1996.3025
OpenAlex ID: W2469358418
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DOI: 10.1006/JATH.1996.3025
description: scientific article; zbMATH DE number 1016788