
Journal of Convex Analysis 21 (2014), No. 1, 147166 Copyright Heldermann Verlag 2014 λPoints in Orlicz Spaces Adam Bohonos School of Mathematics, West Pomeranian University of Technology, Al. Piastów 48/49, 70310 Szczecin, Poland abohonos@zut.edu.pl Ryszard Pluciennik Institute of Mathematics, Poznan University of Technology, Piotrowo 3A, 60965 Poznan, Poland ryszard.pluciennik@put.poznan.pl A criterion for λpoints 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 λproperty are characterized. In contrast to results of H. Y. Sun and C. X. Wu [λproperty of Orlicz space L_{M}, Comment. Math. Univ. Carolin. 31 (1990) 731741], Orlicz spaces considered by us need not always have the λproperty. Keywords: Orlicz space, lambdapoint, lambdaproperty, extreme point, Orlicz norm. MSC: 46E30, 46E40, 46B20 [ Fulltextpdf (182 KB)] for subscribers only. 