Some Structures Related to Metric Projections in Orlicz Spaces
Volume 81 / 1999
Colloquium Mathematicum 81 (1999), 223-235
DOI: 10.4064/cm-81-2-223-235
Abstract
We discuss k-rotundity, weak k-rotundity, C-k-rotundity, weak C-k-rotundity, k-nearly uniform convexity, k-β property, C-I property, C-II property, C-III property and nearly uniform convexity both pointwise and global in Orlicz function spaces equipped with Luxemburg norm. Applications to continuity for the metric projection at a given point are given in Orlicz function spaces with Luxemburg norm.
