On compositions of d.c. functions and mappings

Autor:	Vesely, L., Zajicek, L.
Rok vydání:	2007
Předmět:	Mathematics - Functional Analysis Mathematics - Classical Analysis and ODEs 46B99 26B25 52A41
Druh dokumentu:	Working Paper
Popis:	A d.c. (delta-convex) function on a normed linear space is a function representable as a difference of two continuous convex functions. We show that an infinite dimensional analogue of Hartman's theorem on stability of d.c. functions under compositions does not hold in general. However, we prove that it holds in some interesting particular cases. Our main results about compositions are proved in the more general context of d.c. mappings between normed linear spaces. Comment: 19 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0706.0624 Zobrazit plný text záznamu View this record from Arxiv