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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
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
Palabras clave:Banach spaces; Cotype; Monomial convergence; Vector-valued Dirichlet series
Año:2016
Volumen:270
Número:1
Página de inicio:68
Página de fin:87
DOI: http://dx.doi.org/10.1016/j.jfa.2015.09.017
Título revista:Journal of Functional Analysis
Título revista abreviado:J. Funct. Anal.
ISSN:00221236
CODEN:JFUAA
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