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Title: On Typical Compact Convex Sets in Hilbert Spaces
Authors: De Blasi, F.
Keywords: Compact Convex Set
Metric Antiprojection
Multivalued Locus
Baire Category
Issue Date: 1997
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 23, No 3-4, (1997), 255p-268p
Abstract: Let E be an infinite dimensional separable space and for e ∈ E and X a nonempty compact convex subset of E, let qX(e) be the metric antiprojection of e on X. Let n ≥ 2 be an arbitrary integer. It is shown that for a typical (in the sence of the Baire category) compact convex set X ⊂ E the metric antiprojection qX(e) has cardinality at least n for every e in a dense subset of E.
ISSN: 1310-6600
Appears in Collections:Volume 23 Number 3-4

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