Some geometric properties of typical compact convex sets in Hilbert spaces

• Autorzy: F. S. de Blasi
• Języki publikacji: EN

Abstrakty

EN

An investigation is carried out of the compact convex sets X in an infinite-dimensional separable Hilbert space 𝔼, for which the metric antiprojection $q_X(e)$ from e to X has fixed cardinality n+1 ($n ⊆ ℕ$ arbitrary) for every e in a dense subset of 𝔼. A similar study is performed in the case of the metric projection $p_X(e)$ from e to X where X is a compact subset of 𝔼.

Kategorie tematyczne

• 54E52: Baire category, Baire spaces
• 41A65: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
• 52A05: Convex sets without dimension restrictions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1999
• Tom: 135
• Numer: 2
• Strony: 143-162

Daty

wydano

1999

otrzymano

1996-11-08

poprawiono

1998-03-18

Twórcy

autor

F. S. de Blasi

• Centro Vito Volterra, Dipartimento di Matematica, Università di Roma II (Tor Vergata), Via della Ricerca Scientifica, 00133 Roma, Italy

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