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Approximation de fonctions différentiables sur certains espaces de Banach

Approximation de fonctions différentiables sur certains espaces de Banach

Let E be a separable Banach space, infinite dimensional; I approximate C k -functions defined on an open set Ω of E, by C ∞ -functions. The main result is: let E be Hilbert space, the set of C ∞ maps from Ω to a Banach space F is dense …