Data di Pubblicazione:
2010
Citazione:
On extensions of d.c. functions and convex functions / L. Vesely, L. Zajicek. - In: JOURNAL OF CONVEX ANALYSIS. - ISSN 0944-6532. - 17:2(2010), pp. 427-440.
Abstract:
We show how our recent results on compositions of d.c. functions (and mappings) imply positive results on extensions of d.c. functions (and mappings). Examples answering two natural relevant questions are presented. Two further theorems, concerning extendability of continuous convex functions from a closed subspace of a normed linear space, complement recent results of J. Borwein, V. Montesinos and J. Vanderwerff.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Banach space; Convex function; D.c. Function; D.c. Mapping; Delta-convex mapping; Extension
Elenco autori:
L. Vesely, L. Zajicek
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