Geodesic
Fréchet quotients of spaces of real-analytic functions
P. Domański1 ; L. Frerick2 ; D. Vogt2
1Faculty of Mathematics and Computer Science A. Mickiewicz University Poznań and Institute of Mathematics Polish Academy of Sciences (Poznań branch) Umultowska 87 61-614 Poznań, Poland
2FB Mathematik Bergische Universität Wuppertal Gaußstr. 20 D-42097 Wuppertal, Germany
Studia Mathematica, Tome 159 (2003) no. 2, pp. 229-245
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We characterize all Fréchet quotients of the space ${\scr A} ({\mit \Omega })$ of (complex-valued) real-analytic functions on an arbitrary open set ${\mit \Omega }\subseteq \mathbb R^d$. We also characterize those Fréchet spaces $E$ such that every short exact sequence of the form $0\to E \to X \to {\scr A} ({\mit \Omega }) \to 0$ splits.
DOI : 10.4064/sm159-2-5
Mots-clés : characterize chet quotients space scr mit omega complex valued real analytic functions arbitrary set mit omega subseteq mathbb characterize those chet spaces every short exact sequence form scr mit omega splits

P. Domański  1   ; L. Frerick  2   ; D. Vogt  2

1 Faculty of Mathematics and Computer Science A. Mickiewicz University Poznań and Institute of Mathematics Polish Academy of Sciences (Poznań branch) Umultowska 87 61-614 Poznań, Poland
2 FB Mathematik Bergische Universität Wuppertal Gaußstr. 20 D-42097 Wuppertal, Germany 
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P. Domański; L. Frerick; D. Vogt. Fréchet quotients of spaces of real-analytic functions. Studia Mathematica, Tome 159 (2003) no. 2, pp. 229-245. doi: 10.4064/sm159-2-5

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