Abstract

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.

Author information

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

Adam Bohonos

School of Mathematics, West Pomeranian University of Technology, Al. Piastów 48/49, 70-310 Szczecin, Poland

abohonos@zut.edu.pl

Keywords

  • Orlicz space
  • lambda-point
  • lambda-property
  • extreme point
  • Orlicz norm

Mathematics Subject Classification

46E30, 46E40, 46B20

Suggested citation

A. Bohonos, R. Pluciennik. “λ-Points in Orlicz Spaces.” Journal of Convex Analysis 21 (2014), No. 1, 147–166.

Copyright Heldermann Verlag 2014