Geodesic
Une application du lemme de Mittag-Leffler dans la categorie des quotients d’espaces de Frechet
Mathematica Bohemica, Tome 133 (2008) no. 2, pp. 113-119

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MR Zbl
An application of Mittag-Leffler lemma in the category of quotients of Fréchet spaces. We use Mittag-Leffler Lemma to prove that for a nonempty interval $]a,b[\subset \mathbb{R}$, the restriction mapping $H^{\infty }(]a,b[+\mathrm{i}\mathbb{R}) \rightarrow C^{\infty }\left( ]a,b[\right)$ is surjective and we give a corollary.
An application of Mittag-Leffler lemma in the category of quotients of Fréchet spaces. We use Mittag-Leffler Lemma to prove that for a nonempty interval $]a,b[\subset \mathbb{R}$, the restriction mapping $H^{\infty }(]a,b[+\mathrm{i}\mathbb{R}) \rightarrow C^{\infty }\left( ]a,b[\right)$ is surjective and we give a corollary.
DOI : 10.21136/MB.2008.134054
Classification : 46A04, 46M05, 46M15, 46M40
Mots-clés : Fréchet space; projective limit; surjective mapping 
Aqzzouz, Belmesnaoui. Une application du lemme de Mittag-Leffler dans la categorie des quotients d’espaces de Frechet. Mathematica Bohemica, Tome 133 (2008) no. 2, pp. 113-119. doi: 10.21136/MB.2008.134054
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[1] B. Aqzzouz, R. Nouira: L’exactitude du foncteur limite projective sur la catégorie des quotients d’espaces de Fréchet. (to appear).

[2] V. P. Palamodov: The projective limit functor in the category of topological linear spaces. Mat. Sb. (N.S.) 75 (1968), 567–603. (Russian) | MR

[3] V. P. Palamodov: Homological methods in the theory of locally convex spaces. Usp. Mat. Nauk 26 (1971), 3–65. (Russian) | MR | Zbl

[4] L. Waelbroeck: Quotient Fréchet spaces. Rev. Roum. Math. Pures Appl. 34 (1989), 171–179. | MR | Zbl

[5] J. Wengenroth: Derived Functors in Functional Analysis. Lect. Notes Math. 1810, Springer, Berlin, 2003. | MR | Zbl

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