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Soient , des espaces de Banach , des espaces d’Orlicz, on définit les applications sommantes de dans . On montre que de telles applications sont radonifiantes de dans .On donne une factorisation caractéristique des applications sommantes.
Given an operator ideal ℐ, a Banach space E has the ℐ-approximation property if the identity operator on E can be uniformly approximated on compact subsets of E by operators belonging to ℐ. In this paper the ℐ-approximation property is studied in projective tensor products, spaces of linear functionals, spaces of linear operators/homogeneous polynomials, spaces of holomorphic functions and their preduals.
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