Properties of typical bounded closed convex sets in Hilbert space

F. S. de Blasi and N. V. Zhivkov

Abstract and Applied Analysis, 2005, vol. 2005, 1-14

Abstract:

For a nonempty separable convex subset X of a Hilbert space ℍ ( Ω ) , it is typical (in the sense of Baire category) that a bounded closed convex set C ⊂ ℍ ( Ω ) defines an m -valued metric antiprojection (farthest point mapping) at the points of a dense subset of X , whenever m is a positive integer such that m ≤ dim X + 1 .

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:625284

DOI: 10.1155/AAA.2005.423

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