Uniform λ-Property in Orlicz Spaces

Adam Bohonos; Ryszard Pluciennik

Abstract

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).

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

Orlicz spaces
extreme points
λ-points
λ-property
uniform λ-property

Mathematics Subject Classification

46E30, 46B20, 46B22

Suggested citation

A. Bohonos, R. Pluciennik. “Uniform λ-Property in Orlicz Spaces.” Journal of Convex Analysis 29 (2022), No. 2, 583–604.