Geodesic
Best Approximative Properties of Exposed Faces of C(Q)
Journal of convex analysis, Tome 24 (2017) no. 3, pp. 959-967
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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.
Classification : 46B20, 41A50, 41A65
Mots-clés : Proximinal, strongly proximinal, exposed face, norm attaining functional 
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     author = {V. Indumathi and S. Kalaiarasi},
     title = {Best {Approximative} {Properties} of {Exposed} {Faces} of {C(Q)}},
     journal = {Journal of convex analysis},
     pages = {959--967},
     year = {2017},
     volume = {24},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_3_JCA_2017_24_3_a12/}
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V. Indumathi; S. Kalaiarasi. Best Approximative Properties of Exposed Faces of C(Q). Journal of convex analysis, Tome 24 (2017) no. 3, pp. 959-967. http://geodesic.mathdoc.fr/item/JCA_2017_24_3_JCA_2017_24_3_a12/