Order asymptotically isometric copies of l∞, l1 and c0 in Banach function spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:455

Article

Cui, Yunan¹  Hudzik, Henryk²  Lesnik, Karol³ 

[1] Harbin Univ Sci & Technol, Dept Math, Harbin 150080, Heilongjiang, Peoples R China

[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, Ul Umultowska 87, PL-61614 Poznan, Poland

[3] Poznan Univ Tech, Inst Math, Ul Piotrowo 3a, PL-60965 Poznan, Poland

关键词: Order asymptotically isometric copies;    Calderon-Lozanovskii spaces;    Orlicz spaces;    Musielak-Orlicz spaces;    Orlicz-Lorentz spaces;    Kothe spaces;   

DOI  :  10.1016/j.jmaa.2017.04.063

来源: Elsevier

【 摘 要 】

We investigate order asymptotically isometric copies of c(0), l(infinity) and l(1) in Kothe spaces. Firstly we prove a number of general relations between them and we discuss what happens with such copies while passing to Kothe dual spaces, or vice versa - passing to preduals. Finally, we apply the results to characterize certain classes of Kothe spaces as Orlicz spaces, Calderon-Lozanovskii spaces, Orlicz-Lorentz spaces and Musielak-Orlicz spaces with such copies. (C) 2017 Published by Elsevier Inc.

【 授权许可】

Free