A note on the Banach lattice c0(P2n ), its dual and its bidual

被引：1
|
作者：
Lourenco, M. L. [1 ]
Miranda, V. C. C. [1 ]
机构：
[1] Univ Sao Paulo, Sao Paulo, Brazil
来源：
CARPATHIAN MATHEMATICAL PUBLICATIONS | 2023年 / 15卷 / 01期
关键词：
Banach lattice; Dunford-Pettis property; Gelfand-Phillips property; weak Dunford-Pettis property; weak Grothendieck property; positive Grothendieck property; strong Gelfand-Phillips property; SETS; PROPERTY; SPACES;
D O I：
10.15330/cmp.15.1.270-277
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main purpose of this paper is to study some geometric and topological properties of c0-sum of the finite dimensional Banach lattice P2n, its dual and its bidual. Among other results, we show that the Banach lattice c0(P2n) has the strong Gelfand-Philips property, but does not have the positive Grothendieck property. We also prove that the closed unit ball of l & INFIN;(P2n) is an almost limited set.
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页码：270 / 277
页数：8
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