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.

引用

页码：299 / 306

页数：8

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