Open Access
2009 A CHARACTERIZATION OF NONLINEAR OPEN MAPPINGS BETWEEN PSEUDOMETRIZABLE TOPOLOGICAL VECTOR SPACES
Qiang Lei, Ronglu Li
Taiwanese J. Math. 13(3): 951-954 (2009). DOI: 10.11650/twjm/1500405450

Abstract

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.

Citation

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Qiang Lei. Ronglu Li. "A CHARACTERIZATION OF NONLINEAR OPEN MAPPINGS BETWEEN PSEUDOMETRIZABLE TOPOLOGICAL VECTOR SPACES." Taiwanese J. Math. 13 (3) 951 - 954, 2009. https://doi.org/10.11650/twjm/1500405450

Information

Published: 2009
First available in Project Euclid: 18 July 2017

zbMATH: 1185.46002
MathSciNet: MR2526349
Digital Object Identifier: 10.11650/twjm/1500405450

Subjects:
Primary: 46A30 , 47H99

Keywords: analytic functions , nonlinear , open mappings

Rights: Copyright © 2009 The Mathematical Society of the Republic of China

Vol.13 • No. 3 • 2009
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