On Constant Width Sets in Hilbert Spaces and Around
Journal of convex analysis, Tome 22 (2015) no. 3, pp. 889-9
We present some results concerning the family CW of sets with constant width and the family DM of diametrically maximal (or diametrically complete) sets. In particular we prove (Theorem 2) that CW = DM in Hilbert spaces.
Classification :
52A05, 52A21, 46B99
Mots-clés : Constant width, diametrically maximal sets, arcs
Mots-clés : Constant width, diametrically maximal sets, arcs
@article{JCA_2015_22_3_JCA_2015_22_3_a16,
author = {L. Caspani and P. L. Papini},
title = {On {Constant} {Width} {Sets} in {Hilbert} {Spaces} and {Around}},
journal = {Journal of convex analysis},
pages = {889--9},
year = {2015},
volume = {22},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JCA_2015_22_3_JCA_2015_22_3_a16/}
}
L. Caspani; P. L. Papini. On Constant Width Sets in Hilbert Spaces and Around. Journal of convex analysis, Tome 22 (2015) no. 3, pp. 889-9. http://geodesic.mathdoc.fr/item/JCA_2015_22_3_JCA_2015_22_3_a16/