Vector-valued meromorphic functions

被引：0
|
作者：
J. Bonet
E. Jordá
M. Maestre
机构：
[1] Departamento de Matemática Aplicada,
[2] E.T.S. Arquitectura,undefined
[3] Universidad Politécnica de Valencia,undefined
[4] E-46071 Valencia,undefined
[5] Spain¶ e-mail: jbonet@mat.upv.es,undefined
[6] Departamento de Matemática Aplicada,undefined
[7] E. Politécnica Superior de Alcoy,undefined
[8] Universidad Politécnica de Valencia,undefined
[9] Plaza Ferrándiz y Carbonell 2,undefined
[10] E-03801 Alcoy (Alicante),undefined
[11] Spain¶ e-mail: ejorda@mat.upv.es,undefined
[12] Departamento de Análisis Matemático,undefined
[13] Facultad de Matemáticas,undefined
[14] Universidad de Valencia,undefined
[15] E-46100 Burjasot (Valencia),undefined
[16] Spain¶ e-mail: manuel.maestre@uv.es,undefined
来源：
Archiv der Mathematik | 2002年 / 79卷
关键词：
Open Subset; Meromorphic Function; Compactness Property; Complete Space; Countable Product;
D O I：
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摘要：
A locally complete locally convex space E satisfies that every weakly meromorphic function defined on an open subset of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathbb{C} $\end{document} with values in E is meromorphic if and only if E does not contain a countable product of copies of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathbb{C} $\end{document}. A characterization of locally complete spaces in the spirit of known characterizations of the (metric) convex compactness property is also given.
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页码：353 / 359
页数：6
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