Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Some polynomial versions of cotype and applications |
Autor: | Carando, D.; Defant, A.; Sevilla-Peris, P. |
Filiación: | Departamento de Matemática - Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina IMAS-CONICET, Argentina Institut für Mathematik, Universität Oldenburg, Oldenburg, D-26111, Germany Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Valencia, 46022, Spain
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Palabras clave: | Banach spaces; Cotype; Monomial convergence; Vector-valued Dirichlet series |
Año: | 2016
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Volumen: | 270
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Número: | 1
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Página de inicio: | 68
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Página de fin: | 87
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DOI: |
http://dx.doi.org/10.1016/j.jfa.2015.09.017 |
Título revista: | Journal of Functional Analysis
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Título revista abreviado: | J. Funct. Anal.
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ISSN: | 00221236
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CODEN: | JFUAA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00221236_v270_n1_p68_Carando |
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Citas:
---------- APA ----------
Carando, D., Defant, A. & Sevilla-Peris, P.
(2016)
. Some polynomial versions of cotype and applications. Journal of Functional Analysis, 270(1), 68-87.
http://dx.doi.org/10.1016/j.jfa.2015.09.017---------- CHICAGO ----------
Carando, D., Defant, A., Sevilla-Peris, P.
"Some polynomial versions of cotype and applications"
. Journal of Functional Analysis 270, no. 1
(2016) : 68-87.
http://dx.doi.org/10.1016/j.jfa.2015.09.017---------- MLA ----------
Carando, D., Defant, A., Sevilla-Peris, P.
"Some polynomial versions of cotype and applications"
. Journal of Functional Analysis, vol. 270, no. 1, 2016, pp. 68-87.
http://dx.doi.org/10.1016/j.jfa.2015.09.017---------- VANCOUVER ----------
Carando, D., Defant, A., Sevilla-Peris, P. Some polynomial versions of cotype and applications. J. Funct. Anal. 2016;270(1):68-87.
http://dx.doi.org/10.1016/j.jfa.2015.09.017