A characterization of the Schur property through the disk algebra

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:445

Article

Garcia, Domingo¹  Jorda, Enrique²  Maestre, Manuel¹ 

[1] Univ Valencia, Dept Anal Matemat, Doctor Moliner 50, Burjassot 46100, Valencia, Spain

[2] Univ Politecn Valencia, Dept Matemat Aplicada, Politecn Super Alcoy E, Plaza Ferrandiz & Carbonell 2, Alcoy 03801, Alicante, Spain

关键词: Banach space;    Schur property;    Disk algebra;   

DOI  :  10.1016/j.jmaa.2016.01.028

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free