1. Let V, W be normed vector spaces and T:V + W a linear map. Show that the following are equivalent: i. ||1|| := supusı
Posted: Mon May 09, 2022 11:44 am
1. Let V, W be normed vector spaces and T:V + W a linear map. Show that the following are equivalent: i. ||1|| := supusı Tv is finite. ii. T is continuous. iii. T is continuous at 0.