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, issue 4, 423-436

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 ≤ dimX + 1.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2005:y:2005:i:4:p:423-436

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