Rotundity of Vector-valued Banach Squence Spaces Equipped with Sequential Norms

Abstract:

      In this paper, some convex properties of vector-valued Banach sequence spaces equipped with sequential norms are discussed. The main results are summarized as follows:1. ss(E) is locally uniformly rotund if and only if ss and E are locally uniformly rotund;2. ss(E) is strongly rotund if and only if ss and E are strongly rotund;3. Let ss and ss^* have AK property, then ss(E) is very rotund if and only if ss and E are very rotund.