Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589716 | Journal of Functional Analysis | 2016 | 20 Pages |
Abstract
We introduce non-linear versions of the classical cotype of Banach spaces. We show that spaces with l.u.st. and cotype, and 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 ℓ1ℓ1-multipliers of vector-valued Dirichlet series. Finally we introduce cotype with respect to indexing sets, an idea that includes our previous definitions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Daniel Carando, Andreas Defant, Pablo Sevilla-Peris,