A characterization of the Schur property through the disk algebra

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2017 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 445, pages 1,310-1,320 (issn: 0022-247X,

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Authors: Domingo García; Enrique Jordá; Manuel Maestre;

doi: 10.1016/j.jmaa.2016.01.028

A characterization of the Schur property through the disk algebra

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Abstract

[EN] In this paper we give a new characterization of when a Banach space E has the Schur property in terms of the disk algebra. We prove that E has the Schur property if and only if A(D, E) = A(D,E-w). (C) 2016 Elsevier Inc. All rights reserved.

The first and third authors were supported by MINECO MTM2014-57838-C2-2-P and Prometeo II/2013/013. The second author was supported by MINECO MTM2013-43540-P.

Related Organizations

University of Valencia
Spain
Universitat Politècnica de València
Spain
Escola Politècnica Superior d'Alcoi
Spain

Keywords

Isomorphic theory (including renorming) of Banach spaces, Banach space, Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, disk algebra, MATEMATICA APLICADA, Disk algebra, Schur property

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