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The weak topology on q-convex Banach function spaces

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The weak topology on q-convex Banach function spaces

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Agud Albesa, L.; Calabuig Rodriguez, JM.; Sánchez Pérez, EA. (2012). The weak topology on q-convex Banach function spaces. Mathematical News / Mathematische Nachrichten. 285(2-3):136-149. doi:10.1002/mana.201000030

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Title: The weak topology on q-convex Banach function spaces
Author:
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
Issued date:
Abstract:
Let X(mu) be a Banach function space. In this paper we introduce two new geometric notions, q-convexity and weak q-convexity associated to a subset S of the unit ball of the dual of X(mu), 1 = q < 8. We prove that in the ...[+]
Subjects: Banach function space , Maurey-Rosenthal factorization theorem , Q-concavity , Q-convexity
Copyrigths: Cerrado
Source:
Mathematical News / Mathematische Nachrichten. (issn: 0025-584X ) (eissn: 1522-2616 )
DOI: 10.1002/mana.201000030
Publisher:
Wiley-VCH Verlag
Publisher version: http://onlinelibrary.wiley.com/doi/10.1002/mana.201000030/abstract
Thanks:
The research of the second named author was partially supported by MEC and FEDER (project MTM2008-04594) and GV/2009/102 (Conselleria de Educacion), and the third one was partially suipported by MEC and FEDER (project ...[+]
Type: Artículo

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