FINITE-DIMENSIONAL SUBSPACES OF THE P-ADIC SPACE L-INFINITY

被引：9

作者：

PEREZGARCIA, C

SCHIKHOF, WH

机构：

[1] UNIV CANTABRIA,DEPT MATH,E-39071 SANTANDER,SPAIN

[2] CATHOLIC UNIV NIJMEGEN,DEPT MATH,6525 ED NIJMEGEN,NETHERLANDS

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1995年 / 38卷 / 03期

关键词：

D O I：

10.4153/CMB-1995-052-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For finite-dimensional subspaces of l(infinity) over a non-archimedean valued base field K we study orthocomplementation as related to the Hahn-Banach property and strictness. As a corollary we obtain that, if K is not spherically complete, a closed hyperplane in c(0) having the Hahn-Banach property is orthocomplemented.

引用

页码：360 / 365

页数：6