On the classes of hereditarily ℓp Banach spaces

被引：0

作者：

P. Azimi

A. A. Ledari

机构：

[1] University of Sistan and Baluchestan,Department of Mathematics

来源：

Czechoslovak Mathematical Journal | 2006年 / 56卷

关键词：

Banach spaces; asymptotically isometric copy of ℓ; hereditarily ℓ; Banach spaces;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let X denote a specific space of the class of Xα,p Banach sequence spaces which were constructed by Hagler and the first named author as classes of hereditarily ℓp Banach spaces. We show that for p > 1 the Banach space X contains asymptotically isometric copies of ℓp. It is known that any member of the class is a dual space. We show that the predual of X contains isometric copies of ℓp 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 c0. Here we give a direct proof of the known result that X contains asymptotically isometric copies of ℓ1.

引用

页码：1001 / 1009

页数：8

共 10 条

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[6]

Dilworth J.(undefined) < ∞) and undefined undefined undefined-undefined

[7]

Girardi M.(undefined)Dual Banach spaces which contains an isometric copy of undefined undefined undefined-undefined

[8]

Hagler J.(undefined)Every nonreflexive subspace of undefined undefined undefined-undefined

[9]

Dowling P. N.(undefined) fails the fixed point property undefined undefined undefined-undefined

[10]

Lennard C. J.(undefined)undefined undefined undefined undefined-undefined

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