%0 Journal Article
%T Generic Hahn–Banach results
%+ Analyse Appliquée (AA)
%+ Institut de Mathématiques de Marseille (I2M)
%+ EA2151 Laboratoire de Mathématiques d'Avignon (LMA)
%A Ernst, Emil
%A Volle, Michel
%< avec comité de lecture
%Z I2M:13-025
%@ 0022-247X
%J Journal of Mathematical Analysis and Applications
%I Elsevier
%V 420
%N 1
%P 137–144
%8 2014-12-01
%D 2014
%R 10.1016/j.jmaa.2014.05.075
%K Affine Hahn–Banach theorem
%K Basic sequence
%K Baire category
%Z 46A22; 49A20
%Z Mathematics [math]/Functional Analysis [math.FA]Journal articles
%X Given f:X→R∪{+∞}f:X→R∪{+∞} a convex and lower semi-continuous function defined on a reflexive Banach space X, and L, a closed linear manifold of X over which f takes at least a real value, the aim of this note is to prove the following Baire category result: in the Euclidean setting, the set of affine functions dominated by f on L for which there is no dominated extension to X is always of first Baire category, but this set can be as large as a residual set, provided that X is a reflexive Banach space of infinite dimension.
%G English
%2 https://hal.science/hal-01118526/document
%2 https://hal.science/hal-01118526/file/EV-1.pdf
%L hal-01118526
%U https://hal.science/hal-01118526
%~ UNIV-AVIGNON
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ INSMI
%~ I2M
%~ I2M-2014-
%~ LMA-UAPV