The Köthe Dual of an Abstract Banach Lattice
Joint Authors
Sánchez-Pérez, E. A.
Jiménez Fernández, E.
Juan, M. A.
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-27
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Jiménez Fernández, E.& Juan, M. A.& Sánchez-Pérez, E. A.. 2013. The Köthe Dual of an Abstract Banach Lattice. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-497657
Modern Language Association (MLA)
Jiménez Fernández, E.…[et al.]. The Köthe Dual of an Abstract Banach Lattice. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-497657
American Medical Association (AMA)
Jiménez Fernández, E.& Juan, M. A.& Sánchez-Pérez, E. A.. The Köthe Dual of an Abstract Banach Lattice. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-497657
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497657
