Maps preserving common zeros between subspaces of vector-valued continuous functions

Formetric spaces X and Y, normed spaces E and F, and certain subspaces A(X, E) and A(Y, F) of vector- valued continuous functions, we obtain a complete characterization of linear and bijective maps T : A(X, E) -> A(Y, F) preserving common zeros, that is, maps satisfying the property Z(f) boolean AND Z( g) not equal O double left right arrow Z (T f) boolean AND Z(Tg) not equal circle divide for any f, g is an element of A(X, E), where Z( f) = {x is an element of X: f (x) = 0}. Moreover, we provide some examples of subspaces for which the automatic continuity of linear bijections having the property (P) is derived.