Multiple summing mpas : coordinatewise summability, inclusion theorems and p-Sidon sets

Frédéric Bayart (1)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal

We discuss the multiple summability of a multilinear map T : X1 × · · · × Xm → Y when we have informations on the summability of the maps it induces on each coordinate. Our methods have applications to inclusion theorems for multiple summing multilinear mappings and to the product of p-Sidon sets.

Domaines: Analyse fonctionnelle [math.FA]

Frédéric Bayart. Multiple summing mpas : coordinatewise summability, inclusion theorems and p-Sidon sets. 2017. ⟨hal-01508475⟩