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...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00221236_v270_n1_p68_Carando |
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todo:paper_00221236_v270_n1_p68_Carando2023-10-03T14:27:18Z Some polynomial versions of cotype and applications Carando, D. Defant, A. Sevilla-Peris, P. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, D. Defant, A. Sevilla-Peris, P. 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. |
| format |
JOUR |
| author |
Carando, D. Defant, A. Sevilla-Peris, P. |
| author_facet |
Carando, D. Defant, A. Sevilla-Peris, P. |
| author_sort |
Carando, D. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_00221236_v270_n1_p68_Carando |
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AT carandod somepolynomialversionsofcotypeandapplications AT defanta somepolynomialversionsofcotypeandapplications AT sevillaperisp somepolynomialversionsofcotypeandapplications |
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