On subsymmetric bases in Frechet 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：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 02期
关键词：
symmetric; semi-symmetric; semi-subsymmetric; quasi-homogeneous bases;
D O I：
10.1090/S0002-9939-06-08485-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is proved that any non-normable Frechet space with a semi-symmetric absolute basis is isomorphic to the space omega of all scalar sequences. A similar result is shown for quasi-homogeneous absolute bases. It is also proved that any nuclear Frechet space with a semi-subsymmetric basis is isomorphic to omega.
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页码：453 / 460
页数：8
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