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.

Author information

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

V. Indumathi

Dept. of Mathematics, Pondicherry University, Pondicherry 605014, India

pdyindumath@gmail.com

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.

Copyright Heldermann Verlag 2017