Representation of bilinear forms in non-Archimedean Hilbert space by linear operators

被引：0
|
作者：
Diagana, Toka [1 ]
机构：
[1] Howard Univ, Dept Math, 2441 6th St N-W, Washington, DC 20059 USA
来源：
COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2006年 / 47卷 / 04期
关键词：
non-Archimedean Hilbert space; non-Archimedean bilinear form; unbounded operator; unbounded bilinear form; bounded bilinear form; self-adjoint operator;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper considers representing symmetric, non-degenerate, bilinear forms on some non-Archimedean Hilbert spaces by linear operators. Namely, upon making some assumptions it will be shown that if phi is a symmetric, non-degenerate bilinear form on a non-Archimedean Hilbert space, then phi is representable by a unique self-adjoint (possibly unbounded) operator A.
引用
收藏
页码：695 / 705
页数：11
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