
Journal of Convex Analysis 24 (2017), No. 3, 959967 Copyright Heldermann Verlag 2017 Best Approximative Properties of Exposed Faces of C(Q) V. Indumathi Dept. of Mathematics, Pondicherry University, Pondicherry 605014, India pdyindumath@gmail.com S. Kalaiarasi Dept. of Mathematics, Pondicherry University, Pondicherry 605014, India kalaiarasi.math@gmail.com 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. Keywords: Proximinal, strongly proximinal, exposed face, norm attaining functional. MSC: 46B20, 41A50, 41A65 [ Fulltextpdf (103 KB)] for subscribers only. 