Data di Pubblicazione:
2006
Citazione:
On connections between delta-convex mappings and convex operators / L. VESELY, L. ZAJICEK. - In: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. - ISSN 0013-0915. - 49:3(2006), pp. 739-751.
Abstract:
We study conditions under which every delta-convex (d.c.) mapping is the difference of two continuous convex operators, and vice versa. In particular, we prove that each d.c. mapping F:(a, b) -> Y is the difference of two continuous convex operators whenever Y belongs to a large class of Banach lattices which includes all L-p (mu) spaces (1 <= p <= infinity). The proof is based on a result about Jordan decomposition of vector-valued functions. New observations on Jordan decomposition of finitely additive vector-valued measures are also presented.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
delta-convex (d.c.) mapping; convex operator; Lipschitz condition; normed linear space; Banach lattice; Jordan decomposition
Elenco autori:
L. VESELY, L. ZAJICEK
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