Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/588

 Title: On Typical Compact Convex Sets in Hilbert Spaces Authors: De Blasi, F. Keywords: Compact Convex SetMetric AntiprojectionMultivalued LocusBaire 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. URI: http://hdl.handle.net/10525/588 ISSN: 1310-6600 Appears in Collections: Volume 23 Number 3-4

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