Llavona, José G.2023-06-202023-06-2019920-444-89378-410.1016/S0304-0208(08)70328-1https://hdl.handle.net/20.500.14352/57531INTERNATIONAL FUNCTIONAL ANALYSIS MEETING ON THE OCCASION OF THE 60TH BIRTHDAY OF PROFESSOR M VALDIVIA. OCT 22-27, 1990. PENISCOLA, SPAIN.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.journal articlehttp://www.sciencedirect.com/science/article/pii/S0304020808703281http://www.sciencedirect.com/metadata only access517.98Spaces of weakly continuous functions on Banach spacesWeak topologiesWeakly continuous and weakly differentiable function spacesWeierstrass' theorem for infinite dimensional Banach spacesInterpolation of bounded sequences by weakly continuous and weakly differentiable functionsAnálisis funcional y teoría de operadores