A CHARACTERIZATION OF NONLINEAR OPEN MAPPINGS BETWEEN PSEUDOMETRIZABLE TOPOLOGICAL VECTOR SPACES

被引：0

作者：

Lei, Qiang ^{[1
]}

Li, Ronglu ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150006, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2009年 / 13卷 / 03期

关键词：

Nonlinear; Open mappings; Analytic functions;

D O I：

10.11650/twjm/1500405450

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a new characterization of arbitrary (including nonlinear) open maps between pseudometrizable topological vector spaces. We use it to give a new proof that nonconstant analytic functions are open.

引用

页码：951 / 954

页数：4

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