The Köthe Dual of an Abstract Banach Lattice Jiménez Fernández, Eduardo Juan, M. A. Sánchez Pérez, E. A. 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. 2024-12-13T10:37:42Z 2024-12-13T10:37:42Z 2013-06-27 journal article 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 https://hdl.handle.net/10481/97986 10.1155/2013/782792 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Wiley