Belmesnaoui Aqzzouz, Universite Mohammed V-Souissi, Faculte des Sciences Economiques, juridiques et sociales, Departement 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 Frechet 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: Frechet space, projective limit, surjective mapping
Classification (MSC 2000): 46M05, 46M15, 46M40
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