Abstract

We present some results concerning the family CW\mathcal{CW} of sets with constant width and the family DM\mathcal{DM} of diametrically maximal (or diametrically complete) sets. In particular we prove (Theorem 2) that CW=DM\mathcal{CW} = \mathcal{DM} in Hilbert spaces.

Author information

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

Luigi Caspani

Dip. di Matematica "F. Enriques", Università degli Studi di Milano, Via Saldini 50, 20133 Milano, Italy

luigi.caspani@gmail.com

Pier Luigi Papini

Dip. di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy

pierluigi.papini@unibo.it

Keywords

  • Constant width
  • diametrically maximal sets
  • arcs

Mathematics Subject Classification

52A05; 52A21, 46B99

Suggested citation

L. Caspani, P. L. Papini. “On Constant Width Sets in Hilbert Spaces and Around.” Journal of Convex Analysis 22 (2015), No. 3, 889–900. https://doi.org/10.68381/jca22046

Download BibTeXPublished by Heldermann Verlag.

Published by Heldermann Verlag, 2015. Rights now held by Banach Press.