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ArticleOriginal scientific text

Title

Some Structures Related to Metric Projections in Orlicz Spaces

Authors 1, 1

Affiliations

  1. Department of Mathematics, The University of Iowa, Iowa City, IA 52242, U.S.A.

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.

Keywords

ENG
Orlicz function spaces, C-I property, C-III property, locally uniform convexity, Luxemburg norm, k-nearly uniform convexity, C-k-rotundity, nearly uniform convexity, weak k-rotundity, weak C-k-rotundity, k-β property, C-II property, k-rotundity

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Colloquium Mathematicum
1999/81/2
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Pages:
223-235
Main language of publication
English
Received
1998-11-24
Accepted
1999-02-15
Published
1999
Exact and natural sciences