Some polynomial versions of cotype and applications
Functional Analysis
2019-09-11 v2
Abstract
We introduce non-linear versions of the classical cotype of Banach spaces. We show that spaces with l.u.st and cotype, and that spaces having Fourier cotype enjoy our non-linear cotype. We apply these concepts to get results on convergence of vector-valued power series in infinite many variables and on -multipliers of vector-valued Dirichlet series. Finally we introduce cotype with respect to indexing sets, an idea that includes our previous definitions.
Keywords
Cite
@article{arxiv.1503.00850,
title = {Some polynomial versions of cotype and applications},
author = {Daniel Carando and Andreas Defant and Pablo Sevilla-Peris},
journal= {arXiv preprint arXiv:1503.00850},
year = {2019}
}