We show that admits an equivalent which gives a negative answer to a problem mentioned by Dowling, Hu and Smith. Then we get a stability property for analytic Radon-Nikodym operators. Since, for every Banach space and can be identified, for a metric compact abelian group , its dual , and , we show that, if the space has the property, then it coincides with Finally we show that, if has the then it coincides with
Nous montrons que admet une norme équivalente ce qui répond négativement à une question de Dowling, Hu et Smith. Puis nous obtenons une propriété de stabilité des opérateurs de Radon-Nikodym analytique. Motivés par l’identification entre et où est un espace de Banach, pour un groupe abélien compact métrisable , son dual , et , nous prouvons que, si l’espace a la propriété , alors il coincïde avec Enfin, nous montrons que si a la propriété alors il coincïde avec
@article{AFST_2011_6_20_2_439_0, author = {Daher, Mohammad}, title = {Propri\'et\'es g\'eom\'etriques de $h^{p}({\mathbb{D}},X)$ et g\'en\'eralisations}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {439--463}, publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques}, address = {Toulouse}, volume = {6e s{\'e}rie, 20}, number = {2}, year = {2011}, doi = {10.5802/afst.1298}, zbl = {1226.46031}, mrnumber = {2847890}, language = {fr}, url = {http://www.numdam.org/articles/10.5802/afst.1298/} }
TY - JOUR AU - Daher, Mohammad TI - Propriétés géométriques de $h^{p}({\mathbb{D}},X)$ et généralisations JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2011 SP - 439 EP - 463 VL - 20 IS - 2 PB - Université Paul Sabatier, Institut de mathématiques PP - Toulouse UR - http://www.numdam.org/articles/10.5802/afst.1298/ DO - 10.5802/afst.1298 LA - fr ID - AFST_2011_6_20_2_439_0 ER -
%0 Journal Article %A Daher, Mohammad %T Propriétés géométriques de $h^{p}({\mathbb{D}},X)$ et généralisations %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2011 %P 439-463 %V 20 %N 2 %I Université Paul Sabatier, Institut de mathématiques %C Toulouse %U http://www.numdam.org/articles/10.5802/afst.1298/ %R 10.5802/afst.1298 %G fr %F AFST_2011_6_20_2_439_0
Daher, Mohammad. Propriétés géométriques de $h^{p}({\mathbb{D}},X)$ et généralisations. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 20 (2011) no. 2, pp. 439-463. doi : 10.5802/afst.1298. http://www.numdam.org/articles/10.5802/afst.1298/
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