Artículo
Some polynomial versions of cotype and applications
Fecha de publicación:
01/2016
Editorial:
Elsevier Inc
Revista:
Journal Of Functional Analysis
ISSN:
0022-1236
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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 L1-multipliers of vector-valued Dirichlet series. Finally we introduce cotype with respect to indexing sets, an idea that includes our previous definitions.
Palabras clave:
Cotype
,
Banach Spaces
,
Monomial Convergence
,
Vector-Valued Dirichlet Series
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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; Defant, Andreas; Sevilla Peris, Pablo; Some polynomial versions of cotype and applications; Elsevier Inc; Journal Of Functional Analysis; 270; 1; 1-2016; 68-87
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