Geodesic
λ-Points in Orlicz Spaces
Journal of convex analysis, Tome 21 (2014) no. 1, pp. 147-166

Voir la notice de l'article provenant de la source Heldermann Verlag

A criterion for λ-points of the unit ball in Orlicz spaces generated by arbitrary Orlicz functions (that is Orlicz functions which vanish outside zero and which attain infinite values to the right of some point u>0 are not excluded) and equipped with the Orlicz norm is given. Moreover, Orlicz spaces with the λ-property are characterized. In contrast to results of H. Y. Sun and C. X. Wu [λ-property of Orlicz space LM, Comment. Math. Univ. Carolin. 31 (1990) 731-741], Orlicz spaces considered by us need not always have the λ-property.
Classification : 46E30, 46E40, 46B20
Mots-clés : Orlicz space, lambda-point, lambda-property, extreme point, Orlicz norm 
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A. Bohonos; R. Pluciennik. λ-Points in Orlicz Spaces. Journal of convex analysis, Tome 21 (2014) no. 1, pp. 147-166. http://geodesic.mathdoc.fr/item/JCA_2014_21_1_JCA_2014_21_1_a6/