Artículo
Random unconditional convergence of vector-valued Dirichlet series
Fecha de publicación:
11/2019
Editorial:
Academic Press Inc Elsevier Science
Revista:
Journal of Functional Analysis
ISSN:
0022-1236
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
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).
Palabras clave:
DIRICHLET SERIES
,
RANDOM UNCONDITIONALITY
,
TYPE/COTYPE OF A BANACH SPACE
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
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
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