On symmetric Schauder bases in non-archimedean Frechet spaces

被引：0
|
作者：
Sliwa, W [1 ]
机构：
[1] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-60769 Poznan, Poland
来源：
MONATSHEFTE FUR MATHEMATIK | 2002年 / 137卷 / 01期
关键词：
symmetric; semi symmetric; subsymmetric and quasi-homogeneous bases;
D O I：
10.1007/s00605-002-0476-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that any infinite-dimensional non-archimedean Frechet space with a symmetric basis is isomorphic to c(0) or K(N). A similar result is shown for homogeneous bases. It is also proved that any infinite-dimensional nuclear non-archimedean Frechet space with a subsymmetric basis is isomorphic to K(N). In fact, much stronger results are obtained.
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页码：77 / 86
页数：10
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