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Abstract: A local dual of a Banach space X is a subspace of the dual X* which can replace the whole dual space when dealing with finite dimensional subspaces. This notion arose as a development of the principle of local reflexivity, and it is very useful when a description of X* is not available. We give an exposition of the theory of local duality for Banach spaces, including the main properties, examples and applications, and comparing the notion of local dual with some other weaker properties of the subspaces of the dual of a Banach space. © 2014 Elsevier Ltd.
Fuente: Expo. Math. 33 (2015) 135-183
Editorial: Urban und Fischer
Fecha de publicación: 01/06/2015
Nº de páginas: 56
Tipo de publicación: Artículo de Revista
DOI: 10.1016/j.exmath.2014.04.002
ISSN: 0723-0869,1878-0792
Proyecto español: MTM2010-20190
Url de la publicación: https://doi.org/10.1016/j.exmath.2014.04.002
Consult in UCrea Read publication
MANUEL GONZALEZ ORTIZ
ANTONIO MARTINEZ ABEJON
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