A new definition of strictly convex 2-normed spaces.

The concept of 2-normed spaces was introduced by S. Gähler in 1964. Many notions of normed spaces have been extended to 2-normed space by many researchers, including the notion of convexity. In 1974, C. Diminnie and A. White defined uniformly convex 2-normed spaces and strictly convex 2-normed spaces. In this paper, we give a new definition of strictly convex 2-normed spaces and its geometric interpretation by choosing W = {span(x−y)}⊥. [ABSTRACT FROM AUTHOR]