Frechet quotients of spaces of real-analytic functions

被引：14
|
作者：
Domanski, P
Frerick, L
Vogt, D
机构：
[1] A Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland
[2] Polish Acad Sci, Inst Math, PL-61614 Poznan, Poland
[3] Berg Univ Gesamthsch Wuppertal, D-42097 Wuppertal, Germany
来源：
STUDIA MATHEMATICA | 2003年 / 159卷 / 02期
关键词：
space of real-analytic functions; Frechet space; quotient space; countably normed; (DN phi)-property; splitting of short exact sequences;
D O I：
10.4064/sm159-2-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize all Frechet quotients of the space A(Omega) of (complex-valued) real-analytic functions on an arbitrary open set Omegasubset of or equal toR(d). We also characterize those Frechet spaces E such that every short exact sequence of the form 0-->E-->X-->A(Omega)-->0 splits.
引用
收藏
页码：229 / 245
页数：17
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