On the bounded approximation property on subspaces of lp when 0 < p < 1 and related issues

被引：4

作者：

Cabello Sanchez, Felix ^{[1
]}

Castillo, Jesus M. F. ^{[1
]}

Moreno, Yolanda ^{[2
]}

机构：

[1] Univ Extremadura, Inst Matemat, Ave Elvas S-N, E-06071 Badajoz, Spain

[2] Univ Extremadura, Inst Matemat, Escuela Politecn, Ave Elvas S-N, E-06071 Caceres, Spain

来源：

FORUM MATHEMATICUM | 2019年 / 31卷 / 06期

关键词：

Bounded approximation property; quasi-Banach space; complementably universal; Fraisse limit; BANACH-SPACES; UNIVERSAL BASES;

D O I：

10.1515/forum-2018-0174

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the bounded approximation property (BAP) in quasi-Banach spaces. In the first part of the paper, we show that the kernel of any surjective operator l(p) -> X has the BAP when X has it and 0 < p <= 1, which is an analogue of the corresponding result of Lusky for Banach spaces. We then obtain and study nonlocally convex versions of the Kadec-Pelczyfisld-Wojtaszczyk complementably universal spaces for Banach spaces with the BAP.

引用

页码：1533 / 1556

页数：24

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On the bounded approximation property on subspaces of lp when 0 &lt; p &lt; 1 and related issues

On the bounded approximation property on subspaces of lp when 0 < p < 1 and related issues