In this paper, We show that a real or complex Banach space is smooth at x0(∈S(X)) iff, for any y∈S(X).(?)where Xx0,y= span {x0, y} . For a real Banach space X, we obtain that X is F-differentia ble at x0(∈S(X)) iff (?) Remark. The sufficient conditions of the conclusion have been proved by Yu Xintai [2]. |