Multiple summing maps: Coordinatewise summability, inclusion theorems and p-Sidon sets

By Fr'ed'eric Bayart. 2017

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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.

Subfields: Geometry and Topology, Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/069bf123cc1cffbc9093597c828f625b6cf48c9b