An integral formula for multiple summing norms of operators
Functional Analysis
2015-03-06 v1
Abstract
We prove that the multiple summing norm of multilinear operators defined on some -dimensional real or complex vector spaces with the -norm may be written as an integral with respect to stables measures. As an application we show inclusion and coincidence results for multiple summing mappings. We also present some contraction properties and compute or estimate the limit orders of this class of operators.
Cite
@article{arxiv.1503.01638,
title = {An integral formula for multiple summing norms of operators},
author = {Daniel Carando and Verónica Dimant and Santiago Muro and Damián Pinasco},
journal= {arXiv preprint arXiv:1503.01638},
year = {2015}
}
Comments
19 pages