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.
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页码：383 / 386
页数：4
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