RETRACTED
The below paper has been retracted upon request of the author.
See also the related letter to editors.
MATHEMATICA BOHEMICA, Vol. 133, No. 2, pp. 113-119, 2008

Une application du lemme de Mittag-Leffler dans la categorie des quotients d'espaces de Fréchet

Belmesnaoui Aqzzouz

Belmesnaoui Aqzzouz, Université Mohammed V-Souissi, Faculté des Sciences Economiques, juridiques et sociales, Département d'Economie, B.P. 5295, Sala Eljadida, Morocco, e-mail: baqzzouz@hotmail.com

Abstract: 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 $]a,b[\subset\Bbb R$, the restriction mapping $H^{\infty}(]a,b[+i\Bbb R) \to C^{\infty}\left( ]a,b[\right)$ is surjective and we give a corollary.

Keywords: Fréchet space, projective limit, surjective mapping

Classification (MSC 2000): 46M05, 46M15, 46M40


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