A Characterization of Extremal Sets in Hilbert Spaces
Metric Geometry
2007-05-23 v3 Functional Analysis
Abstract
We give a characterization of extremal sets in Hilbert spaces that generalizes a classical theorem of H. W. E. Jung. We investigate also the behaviour of points near to the circumsphere of such a set with respect to the Kuratowski and Hausdorff measures of non-compactness.
Cite
@article{arxiv.math/0203190,
title = {A Characterization of Extremal Sets in Hilbert Spaces},
author = {V. NguyenKhac and K. NguyenVan},
journal= {arXiv preprint arXiv:math/0203190},
year = {2007}
}
Comments
10 pages, corrected some misprints