%0 Journal Article %A Gómez Gil, Javier %A Llavona, José G. %T Polynomial approximation of weakly differentiable functions on banach spaces %D 1982 %@ 1902-1997 %U https://hdl.handle.net/20.500.14352/64653 %X A characterization of dense polynomial algebras is obtained for a certain class of p-continously differentiable Fréchet functions between real Banach spaces. In order to study this result a new approximation property in Banach spaces, the bounded weak approximation property, is introduced and studied. %~