The Köthe Dual of an Abstract Banach Lattice

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URI: https://hdl.handle.net/10481/97986
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Author
Jiménez Fernández, Eduardo; Juan, M. A.; Sánchez Pérez, E. A.
Editorial
Wiley
Date
2013-06-27
Referencia bibliográfica
Jiménez Fernández, E., Juan, M. A., Sánchez-Pérez, E. A., The Köthe Dual of an Abstract Banach Lattice, Journal of Function Spaces, 2013, 782792, 8 pages, 2013. https://doi.org/10.1155/2013/782792
Sponsorship
Ministerio de Economía y Competitividad (Spain) (Project MTM2011-23164); Junta de Andalucía and FEDER Grant (P09-FQM-4911) (Spain); Ministerio de Economía y Competitividad (Spain) (Project MTM2012- 36740-C02-02); Ministerio de Economía y Competitividad (Spain) (Project MTM2012-36740-C02-02)
Abstract
We analyze a suitable definition of Köthe dual for spaces of integrable functions with respect to vector measures defined on δ-rings. This family represents a broad class of Banach lattices, and nowadays it seems to be the biggest class of spaces supported by integral structures, that is, the largest class in which an integral representation of some elements of the dual makes sense. In order to check the appropriateness of our definition, we analyze how far the coincidence of the Köthe dual with the topological dual is preserved.
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Atribución 4.0 Internacional
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