The Bishop-Phelps-Bollobas property for operators from c0 into some Banach spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:445

Article

Acosta, Maria D.¹  Garcia, Domingo²  Kim, Sun Kwang³  Maestre, Manuel² 

[1] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain

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

[3] Kyonggi Univ, Dept Math, Suwon 443760, South Korea

关键词: Banach space;    Bishop-Phelps-Bollobas Theorem;    Norm attaining operator;    Bishop-Phelps-Bollobas property;   

DOI  :  10.1016/j.jmaa.2016.02.029

来源: Elsevier

【 摘 要 】

We exhibit a new class of Banach spaces Y such that the pair (c(0), Y) has the Bishop-Phelps-Bollobas property for operators. This class contains uniformly convex Banach spaces and spaces with the property beta of Lindenstrauss. We also provide new examples of spaces in this class. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free