Currently displaying 1 – 3 of 3

Showing per page

Order by Relevance | Title | Year of publication

A "hidden" characterization of approximatively polyhedral convex sets in Banach spaces

Taras BanakhIvan Hetman — 2012

Studia Mathematica

A closed convex subset C of a Banach space X is called approximatively polyhedral if for each ε > 0 there is a polyhedral (= intersection of finitely many closed half-spaces) convex set P ⊂ X at Hausdorff distance < ε from C. We characterize approximatively polyhedral convex sets in Banach spaces and apply the characterization to show that a connected component of the space C o n v ( X ) of closed convex subsets of X endowed with the Hausdorff metric is separable if and only if contains a polyhedral convex...

Page 1

Download Results (CSV)