A generalized inductive limit strict topology on the space of bounded continuous

被引：2

作者：

Aguayo, Jose ^{[1
]}

Navarro, Samuel ^{[2
]}

Ojeda, Jacqueline ^{[1
]}

机构：

[1] Univ Concepcion, Fac Ciencias Fis & Matemat, Dept Matemat, Concepcion, Chile

[2] Univ Santiago Chile, Dept Matemat, Santiago, Chile

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2007年 / 18卷 / 04期

关键词：

nonarchimedean structures; strict topologies; zero-dimensional spaces; spaces of nonarchimedean measures;

D O I：

10.1016/S0019-3577(07)80057-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A generalized inductive limit strict topology beta(infinity) is defined on C-b(X, E), the space of all bounded, continuous functions from a zero-dimensional Hausdorff space X into a locally K-convex space E, where K is a field with a nontrivial and nonarchimedean valuation, for which K is a complete ultrametric space. Many properties of the topology beta(infinity) are proved and the dual Of (C-b (X, E), beta(infinity)) is studied.

引用

页码：485 / 494

页数：10

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