English

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

Functional Analysis 2017-04-17 v1

Abstract

We discuss the multiple summability of a multilinear map T:X1××XmYT:X_1\times\cdots\times X_m\to 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 pp-Sidon sets.

Keywords

Cite

@article{arxiv.1704.04437,
  title  = {Multiple summing mpas : coordinatewise summability, inclusion theorems and p-Sidon sets},
  author = {Frédéric Bayart},
  journal= {arXiv preprint arXiv:1704.04437},
  year   = {2017}
}
R2 v1 2026-06-22T19:17:32.319Z