ON BEST COAPPROXIMATION IN L^1

As a counterpart to best approximation in normed linear spaces, best coapproximation was introduced by Franchetti and Furi. In this paper, we shall show that if M is an approximatively compact subspace of X and M or ˘M is separable, then L^1(S,M) is proximinal in L^1(S,X).

کلیدواژه ها:

Upper semi-continuous ، approximatively comapact ، coproximinalsubspaces ، cochebyshev subspace