info:eu-repo/semantics/article
Random unconditional convergence of vector-valued Dirichlet series
Fecha
2019-11Registro en:
Carando, Daniel Germán; Marceca, Felipe; Scotti, Melisa Carla; Tradacete, Pedro; Random unconditional convergence of vector-valued Dirichlet series; Academic Press Inc Elsevier Science; Journal of Functional Analysis; 277; 9; 11-2019; 3156-3178
0022-1236
CONICET Digital
CONICET
Autor
Carando, Daniel Germán
Marceca, Felipe
Scotti, Melisa Carla
Tradacete, Pedro
Resumen
We study random unconditionality of Dirichlet series in vector-valued Hardy spaces Hp(X). It is shown that a Banach space X has type 2 (respectively, cotype 2) if and only if for every choice (xn)n⊂X it follows that (xnn−s)n is random unconditionally convergent (respectively, divergent) in H2(X). The analogous question on Hp(X) spaces for p≠2 is also explored. We also provide explicit examples exhibiting the differences between the unconditionality of (xnn−s)n in Hp(X) and that of (xnzn)n in Hp(X).