For a nonempty separable convex subset X of a Hilbert space H(Omega), it is typical (in the sense of Baire category) that a bounded closed convex set C subset of H(Omega) defines an m-valued metric antiprojection (farthest point mapping) at the points of a dense subset of X, when ever m is a positive integer such that m <= dimX + 1.
DE BLASI, F.s., Zhivkov, N. (2005). Properties of typical bounded closed convex sets in Hilbert space. ABSTRACT AND APPLIED ANALYSIS(4), 423-436 [10.1155/AAA.2005.423].
Properties of typical bounded closed convex sets in Hilbert space
DE BLASI, FRANCESCO SAVERIO;
2005-01-01
Abstract
For a nonempty separable convex subset X of a Hilbert space H(Omega), it is typical (in the sense of Baire category) that a bounded closed convex set C subset of H(Omega) defines an m-valued metric antiprojection (farthest point mapping) at the points of a dense subset of X, when ever m is a positive integer such that m <= dimX + 1.File in questo prodotto:
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