%0 Journal Article %A Llavona, José G. %T Weak topologies on bounded sets of a Banach space. Associated function spaces. %D 1992 %@ 0-444-89378-4 %U https://hdl.handle.net/20.500.14352/57531 %X This is a survey paper concerning:\par 1) relations between spaces of weakly continuous functions on Banach spaces and their weak topologies;\par 2) weakly continuous and weakly differentiable function spaces in relation with the extension of Weierstrass' theorem for infinite dimensional Banach spaces;\par 3) interpolation of bounded sequences by weakly continuous and weakly differentiable functions. %~