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.
2005
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/05 - ANALISI MATEMATICA
English
Con Impact Factor ISI
banach-spaces; metric projections; farthest points; ambiguous loci; nearest; bodies; number
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].
DE BLASI, Fs; Zhivkov, N
Articolo su rivista
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/8143
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 0
social impact