Avilés-López, A.; Guirao Sánchez, AJ.; Lajara, S.; Rodríguez Ruiz, J.; Tradacete Pérez, P. (2016). Weakly compactly generated Banach lattices. Studia Mathematica. 234(2):165-183. https://doi.org/10.4064/sm8513-5-2016
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/151296
Title:
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Weakly compactly generated Banach lattices
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Author:
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Avilés-López, Antonio
Guirao Sánchez, Antonio José
Lajara, Sebastian
Rodríguez Ruiz, José
Tradacete Pérez, Pedro
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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[EN] We study the different ways in which a weakly compact set can generate a Banach lattice. Among other things, it is shown that in an order continuous Banach lattice X, the existence of a weakly compact set K subset of ...[+]
[EN] We study the different ways in which a weakly compact set can generate a Banach lattice. Among other things, it is shown that in an order continuous Banach lattice X, the existence of a weakly compact set K subset of X such that X coincides with the band generated by K implies that X is weakly compactly generated.
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Subjects:
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Banach lattice
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Order continuous norm
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Weakly compact set
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Weakly compactly generated Banach space
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Studia Mathematica. (issn:
0039-3223
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DOI:
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10.4064/sm8513-5-2016
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Publisher:
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Institute of Mathematics, Polish Academy of Sciences
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Publisher version:
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https://doi.org/10.4064/sm8513-5-2016
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Project ID:
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Agencia de Ciencia y Tecnología de la Región de Murcia/19368/PI/14
...[+]
Agencia de Ciencia y Tecnología de la Región de Murcia/19368/PI/14
Ministerio de Economía y Competitividad/MTM2014-57838-C2-1-P
MINECO/MTM2012-34341
MINECO/MTM2012-31286
MINECO/MTM2013-40985
UCM/910346
MINECO/MTM2014-54182-P
Fundación Séneca-Agencia de Ciencia y Tecnología de la Región de Murcia /19275/PI/14
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Thanks:
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Research partially supported by Ministerio de Economia y Competitividad and FEDER under projects MTM2014-54182-P (A. Aviles, S. Lajara and J. Rodriguez), MTM2014-57838-C2-1-P (A. J. Guirao), MTM2012-34341 (S. Lajara), ...[+]
Research partially supported by Ministerio de Economia y Competitividad and FEDER under projects MTM2014-54182-P (A. Aviles, S. Lajara and J. Rodriguez), MTM2014-57838-C2-1-P (A. J. Guirao), MTM2012-34341 (S. Lajara), MTM2012-31286 (P. Tradacete) and MTM2013-40985 (P. Tradacete). This work was also partially supported by the research projects 19275/PI/14 (A. Aviles, S. Lajara and J. Rodriguez) and 19368/PI/14 (A. J. Guirao) funded by Fundacion Seneca-Agencia de Ciencia y Tecnologia de la Region de Murcia within the framework of PC-TIRM 2011-2014. The research of P. Tradacete was also partially supported by Grupo UCM 910346.
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Type:
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Artículo
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