ABSTRACT
Throughout, X and Y are Banach spaces, Sx the unit sphere of X , and N stands for the natural numbers. Given k e N , we denote by V(kX) the space of all homogeneous (continuous) polynomials from X into the scalar field K (real or complex). We identify V(°X) = K, and denote V(X) := YlkLo • For the general theory of polynomials on Banach spaces, we refer to [17]. As usual, en stands for the sequence (0, • • • , 0, 1,0, • • •) with 1 in the nth position.
