The minimal and maximal operator ideals associated to $$(n+1)$$ ( n + 1 ) -tensor norms of Michor’s type

Abstract

We study an \((n+1)\)-tensor norm \(\alpha ^C_{\mathbf {r}}\) extending to \((n+1)\)-fold tensor products a tensor norm defined by Michor when \(n=1\) by convexification of a certain s-norm. We characterize the maps of the minimal and the maximal multilinear operator ideals related to \(\alpha ^C_{\mathbf {r}}\) in the sense of Defant, Floret and Hunfeld.