[Banach] Abstract of a paper by Libor Vesely and Ludek Zajicek

This is an announcement for the paper "On extensions of d.c. functions and convex functions" by Libor Vesely and Ludek Zajicek.

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.

Archive classification: math.FA math.GM

Mathematics Subject Classification: 52A41; 26B25; 46B99

Remarks: 16 pages

The source file(s), RozsirDCfinal.tex: 48466 bytes, is(are) stored in gzipped form as 0810.1433.gz with size 15kb. The corresponding postcript file has gzipped size 110kb.

Submitted from: Libor.Vesely@mat.unimi.it

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/0810.1433

or

http://arXiv.org/abs/0810.1433

or by email in unzipped form by transmitting an empty message with subject line

uget 0810.1433

or in gzipped form by using subject line

get 0810.1433

to: math@arXiv.org.