On the triangle inequality in quasi 2-normed spaces and a new characterization of 2-inner product spaces

In this paper we establish a generalization of the triangle inequality in quasi 2-normed linear spaces. Moreover, we obtained a new haracterization of 2-inner product spaces by comparing the 2-angular distance and 2-skew-angular distance with each other.

Keywords:

2-normed linear spaces , Quasi 2-normed spaces , 2-inner product spaces , Triangle inequality , 2-angular distance , 2-skew-angular distance