Local approach to Kadec-Klee properties in symmetric function spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:426

Article

Ciesielski, Maciej¹  Kolwicz, Pawel¹  Pluciennik, Ryszard¹ 

[1] Poznan Univ Tech, Inst Math, PL-60965 Poznan, Poland

关键词: Symmetric spaces;    Lorentz spaces;    Kadec-Klee property;    H-l point;    H-g point;    Best dominated approximation problems;   

DOI  :  10.1016/j.jmaa.2015.01.064

来源: Elsevier

【 摘 要 】

We prove several results concerning local approach to Kadec-Klee properties with respect to global (local) convergence in measure in symmetric Banach function spaces which may be of independent interest. Moreover, we prove characterizations of these properties in the Lorentz spaces. Finally, we show applications of H-g and H-l points to the local best dominated approximation problems in Banach lattices. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free