Bishop-Phelps-Bollobas property for certain spaces of operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:414

Article

Acosta, Maria D.¹  Becerra Guerrero, Julio¹  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, Burjassot 46100, Valencia, Spain

[3] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea

关键词: Banach space;    Bishop-Phelps-Bollobas Theorem;    Li (mu);   

DOI  :  10.1016/j.jmaa.2013.12.056

来源: Elsevier

【 摘 要 】

We characterize the Banach spaces Y for which certain subspaces of operators from L-1 (mu) into Y have the Bishop-Phelps-Bollobas property in terms of a geometric property of Y, namely AHSP. This characterization applies to the spaces of compact and weakly compact operators. New examples of Banach spaces Y with AHSP are provided. We also obtain that certain ideals of Asplund operators satisfy the Bishop Phelps-Bollobas property. (c) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free