Best Approximative Properties of Exposed Faces
Journal of convex analysis, Tome 29 (2022) no. 3, pp. 731-747
Let X = c0or L1(μ). We will show that the exposed face of the unit sphere of X is strongly proximinal and the corresponding metric projection map is Hausdorff metric continuous.
Classification :
46B20, 41A50, 41A65
Mots-clés : Proximinal, strongly proximinal, norm attaining functional, exposed face, Hausdorff metric continuity
Mots-clés : Proximinal, strongly proximinal, norm attaining functional, exposed face, Hausdorff metric continuity
@article{JCA_2022_29_3_JCA_2022_29_3_a4,
author = {N. Prakash and K. V. Sangeetha},
title = {Best {Approximative} {Properties} of {Exposed} {Faces}},
journal = {Journal of convex analysis},
pages = {731--747},
year = {2022},
volume = {29},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JCA_2022_29_3_JCA_2022_29_3_a4/}
}
N. Prakash; K. V. Sangeetha. Best Approximative Properties of Exposed Faces. Journal of convex analysis, Tome 29 (2022) no. 3, pp. 731-747. http://geodesic.mathdoc.fr/item/JCA_2022_29_3_JCA_2022_29_3_a4/