International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 3, Pages 417-423
doi:10.1155/S0161171292000565
On strictly convex and strictly 2-convex 2-normed spaces II
C.-S. Lin
Department of Mathematics, Bishop's University, Lennoxville, P.Q. J1M 1Z7, Canada
Abstract
In this paper a new duality mapping is defined, and it is our object to show that there is a similarity among these three types of characterizations of a strictly convex 2-normed space. This enables us to obtain more new results along each of two types of characterizations. We shall also investigate a strictly 2-convex 2-normed space in terms of the above two different types.