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

页码：261 / 271

页数：11

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