Some polynomial versions of cotype and applications

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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Carando, Daniel German
Publicado: 2016
Materias:
Banach spaces
Cotype
Monomial convergence
Vector-valued Dirichlet series
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221236_v270_n1_p68_Carando
http://hdl.handle.net/20.500.12110/paper_00221236_v270_n1_p68_Carando
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00221236_v270_n1_p68_Carando
record_format dspace
spelling paper:paper_00221236_v270_n1_p68_Carando2023-06-08T14:46:27Z Some polynomial versions of cotype and applications Carando, Daniel German Banach spaces Cotype Monomial convergence Vector-valued Dirichlet series 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. © 2015 Elsevier Inc. Fil:Carando, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221236_v270_n1_p68_Carando http://hdl.handle.net/20.500.12110/paper_00221236_v270_n1_p68_Carando
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Banach spaces
Cotype
Monomial convergence
Vector-valued Dirichlet series
spellingShingle Banach spaces
Cotype
Monomial convergence
Vector-valued Dirichlet series
Carando, Daniel German
Some polynomial versions of cotype and applications
topic_facet Banach spaces
Cotype
Monomial convergence
Vector-valued Dirichlet series
description 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. © 2015 Elsevier Inc.
author Carando, Daniel German
author_facet Carando, Daniel German
author_sort Carando, Daniel German
title Some polynomial versions of cotype and applications
title_short Some polynomial versions of cotype and applications
title_full Some polynomial versions of cotype and applications
title_fullStr Some polynomial versions of cotype and applications
title_full_unstemmed Some polynomial versions of cotype and applications
title_sort some polynomial versions of cotype and applications
publishDate 2016
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221236_v270_n1_p68_Carando
http://hdl.handle.net/20.500.12110/paper_00221236_v270_n1_p68_Carando
work_keys_str_mv AT carandodanielgerman somepolynomialversionsofcotypeandapplications
_version_ 1768542021336694784

Ejemplares similares