On the representation of multi-ideals by tensor norms

A tensor norm $β= (β_{n})_{n=1}^{\infty}$ is smooth if the natural correspondence $(E_{1} \otimes\cdots\otimes E_{n} \otimes\mathbb{K},β_{n+1}) \longleftrightarrow (E_{1} \otimes\cdots\otimes E_{n} ,β_{n})$ is always an isometric isomorphism. In this paper we study the representation of multi-ideals and of ideals of multilinear forms by smooth tensor norms.

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