1 عمومی:: حفظکنندۀ نرم
We show next that the mapping T can be extended uniquely to an isomorphism fromHX ontoK . if Y 2HX then there is a sequence Yn 2HX such that kYn−Yk! 0. This implies that Yn is a Cauchy sequence and hence, since T is norm-preserving, the sequence {TYn} is Cauchy in L2(F). The sequence {TYn} therefore converges in norm to an element of K .
واژگان شبکه مترجمین ایران