(n+1)-Tensor norms of lapresté type

Abstract

[EN] We study an (n + 1)-tensor norm alpha(r) extending to (n + 1)-fold tensor products, the classical one of Lapreste in the case n = 1. We characterise the maps of the minimal and the maximal multi-linear operator ideals related to alpha(r) in the sense of Defant and Floret (A. Defant and K. Floret, Tensor norms and operator ideals, North Holland Mathematical Studies, no. 176 (North Holland, Amsterdam, Netherlands, 1993). As an application we give a complete description of the reflexivity of the alpha(r)-tensor product (circle times(n+1)(j=1) l(uj), alpha(r)).