On metrizable non-Archimedean LF-spaces

被引：0
|
作者：
Sliwa, Wieslaw [1 ]
机构：
[1] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2009年 / 20卷 / 02期
关键词：
Non-Archimedean Frechet space; (LF)-space; Schauder basis; LOCALLY CONVEX-SPACES; SEQUENCES;
D O I：
10.1016/S0019-3577(09)80013-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is known that no non-Archimedcan LB-space (and no strict non-Archimedean LF-space) is metrizable. We show that there exist many metrizable (or even normable) non-Archimedean LF-spaces. We prove that every non-normable polar non-Archimedean Frechet space (and every non-Archimedean Banach space with an infinite basis (x(alpha))) contains a dense subspace which is an LF-space.
引用
收藏
页码：261 / 271
页数：11
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