A Characterization of Extremal Sets in Hilbert Spaces

Details A Characterization of Extremal Sets in Hilbert Spaces A Characterization of Extremal Sets in Hilbert Spaces

2002-03-19

arxiv.org/abs/math/0203190v3

Mathematics

Metric Geometry

10 pages, corrected some misprints

Scientific paper

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.

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