A Characterization of n-Seminorm

摘要

The notion of n-norm is introduced in [6] as a generalization of the notion of 2-norm introduced by Gahler in [1]. The notion of n-seminorm is introduced in [5] as a generalization of the notion of 2-seminorm. An equivalent definition of 2-norm is given in [2]. Using the technique in [2], some classes of subsets of X~n are introduced in [3]. Using them in this paper, it is given a characterization of n-seminorm in the sense of Minkowski.