Frechet AL-spaces have the Dunford-Pettis property

被引：1

作者：

Díaz, JC

Fernández, A

Naranjo, F

机构：

[1] Univ Cordoba, ETSIAM, Dpto Matemat, E-14004 Cordoba, Spain

[2] Escuela Super Ingn, Dpto Matemat Aplicada 2, Seville 41092, Spain

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1998年 / 58卷 / 03期

关键词：

D O I：

10.1017/S0004972700032354

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Frechet lattice E is an AL-space if its topology can be defined by a family of lattice seminorms that are additive in the positive cone of E. Grothendieck proved that AL-Banach spaces have the Dunford-Pettis property. This result was recently extended by Fernandez and Naranjo to AL-Frechet spaces with a continuous norm and weak order unit. In this note we show how to remove both hypotheses.

引用

页码：383 / 386

页数：4

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