Some Structures Related to Metric Projections in Orlicz Spaces

Volume 81 / 1999

Bor-Luh Lin, Zhongrui Shi 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.

Authors

  • Bor-Luh Lin
  • Zhongrui Shi

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