On orthogonal properties of immediate extensions of c0

被引：0
|
作者：
Kubzdela, Albert [1 ]
机构：
[1] Poznan Univ Tech, Inst Civil Engn, PL-61138 Poznan, Poland
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2011年 / 21卷 / 1-2期
关键词：
Non-Archimedean normed spaces; Orthocomplemented subspaces; Immediate extensions; Hilbertian spaces; NORMED SPACES; SUBSPACES;
D O I：
10.1016/j.indag.2011.01.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let K be a non-spherically complete non-Archimedean valued field. We prove that there exist normed spaces over K for which every finite-dimensional linear subspace has an orthogonal base and which possess one-dimensional linear subspaces without orthogonal complements. (C) 2011 Royal Netherlands Academy of Arts and Sciences. Published by Elsevier B.V. All rights reserved.
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页码：76 / 86
页数：11
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