Journal of Convex Analysis 29 (2022), No. 2, 583--604
Copyright Heldermann Verlag 2022
Uniform λ-Property in Orlicz Spaces
Adam Bohonos
School of Mathematics, West Pomeranian University of Technology, Szczecin, Poland
abohonos@zut.edu.pl
Ryszard Pluciennik
Institute of Mathematics, University of Technology, Poznan, Poland
ryszard.pluciennik@put.poznan.pl
We discuss Orlicz spaces with uniform λ-property. These spaces are equipped with the Orlicz norm and they are generated by arbitrary Orlicz functions (even Orlicz functions which vanish outside zero and which attain infinite values to the right of some point u > 0 are not excluded).
Keywords: Orlicz spaces, extreme points, λ-points, λ-property, uniform λ-property.
MSC: 46E30, 46B20, 46B22.
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