Abstract

If C is an exposed face of the unit sphere of the Banach space C(Q), Q a compact Hausdorff space, then the closed convex set C is strongly proximinal and the metric projection onto C is Hausdorff metric continuous.

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Keywords

  • Proximinal
  • strongly proximinal
  • exposed face
  • norm attaining functional

Mathematics Subject Classification

46B20, 41A50, 41A65

Suggested citation

V. Indumathi, S. Kalaiarasi. “Best Approximative Properties of Exposed Faces of C(Q).” Journal of Convex Analysis 24 (2017), No. 3, 959–967. https://doi.org/10.68381/jca24057

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Published by Heldermann Verlag, 2017. Rights now held by Banach Press.