On Characterizations of the Space of p-Semi-Integral Multilinear Mappings

Abstract

In this paper we consider the ideal of p-semi-integral n-linear mappings, which is a natural multilinear extension of the ideal of p-summing linear operators. The space of p-semi-integral multilinear mappings is characterized by means of a suitable tensor norm up to an isometric isomorphism. In this connection we also consider tensor products of linear operators and multilinear mappings of finite type.