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Title

Some geometric properties of typical compact convex sets in Hilbert spaces

Authors 1

Affiliations

  1. Centro Vito Volterra, Dipartimento di Matematica, Università di Roma II (Tor Vergata), Via della Ricerca Scientifica, 00133 Roma, Italy

Abstract

An investigation is carried out of the compact convex sets X in an infinite-dimensional separable Hilbert space , for which the metric antiprojection qX(e) from e to X has fixed cardinality n+1 (n⊆ℕ arbitrary) for every e in a dense subset of . A similar study is performed in the case of the metric projection pX(e) from e to X where X is a compact subset of .

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Studia Mathematica
1999/135/2
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Pages:
143-162
Main language of publication
English
Received
1996-11-08
Accepted
1998-03-18
Published
1999
Exact and natural sciences