On extensions of d.c. functions and convex functions

Details On extensions of d.c. functions and convex functions On extensions of d.c. functions and convex functions

2008-10-08

arxiv.org/abs/0810.1433v1

Mathematics

Functional Analysis

16 pages

Scientific paper

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.

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