Data di Pubblicazione:
2007
Citazione:
Basic properties of evenly convex sets / V. Klee, E. Maluta, C. Zanco. - In: JOURNAL OF CONVEX ANALYSIS. - ISSN 0944-6532. - 14:1(2007), pp. 137-148.
Abstract:
A subset of a finite-dimensional real vector space is called
evenly convex if it is the intersection of a collection of open
halfspaces. The study of such sets was initiated in 1952 by Werner
Fenchel, who defined a natural polarity operation and mentioned
some of its properties. Over the years since then, evenly convex
sets have made occasional appearances in the literature but there
has been no systematic study of their basic properties. Such a
study is undertaken in the present paper.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
evenly convex set, evenly convex cone, section, projection
Elenco autori:
V. Klee, E. Maluta, C. Zanco
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