TEST SPACES, DACEY SPACES, AND COMPLETENESS OF INNER-PRODUCT SPACES

被引：1
|
作者：
DVURECENSKIJ, A
PULMANNOVA, S
机构：
[1] Mathematical Institute, Slovak Academy of Sciences, Bratislava, SK-814 73
来源：
LETTERS IN MATHEMATICAL PHYSICS | 1994年 / 32卷 / 04期
关键词：
Mathematical Subject Classifications (1991): Primary: 46C15; Secondary:; 81P10; 03G12;
D O I：
10.1007/BF00761140
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We show that a test space consisting of the unit sphere of a real or complex inner product space S and of the set all maximal orthonormal systems in S, is algebraic iff S is Dacey or, equivalently, iff S is complete. In addition, we present another completeness criterion.
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页码：299 / 306
页数：8
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