On the classes of hereditarily lp Banach spaces

被引：2

作者：

Azimi, P. ^{[1
]}

Ledari, A. A. ^{[1
]}

机构：

[1] Univ Sistan & Baluchestan, Dept Math, Zahedan, Iran

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2006年 / 56卷 / 03期

关键词：

Banach spaces; asymptotically isometric copy of l(p); hereditarily l(p) Banach spaces;

D O I：

10.1007/s10587-006-0075-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X denote a specific space of the class of X-alpha,X-p Banach sequence spaces which were constructed by Hagler and the first named author as classes of hereditarily l(p) Banach spaces. We show that for p > 1 the Banach space X contains asymptotically isometric copies of l(p). It is known that any member of the class is a dual space. We show that the predual of X contains isometric copies Of l(q) where 1/p + 1/q = 1. For p = 1 it is known that the predual of the Banach space X contains asymptotically isometric copies of c(0). Here we give a direct proof of the known result that X contains asymptotically isometric copies of l(1).

引用

页码：1001 / 1009

页数：9

共 6 条

[1] EXAMPLES OF HEREDITARILY L1 BANACH-SPACES FAILING THE SCHUR PROPERTY [J].