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Properties of typical bounded closed convex sets in Hilbert space

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  • F. S. de Blasi
  • N. V. Zhivkov

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.

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Handle: RePEc:wly:jnlaaa:v:2005:y:2005:i:4:p:423-436
DOI: 10.1155/AAA.2005.423
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