A short proof of a theorem on compositions of d.c. mappings
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- by Libor Veselý PDF
- Proc. Amer. Math. Soc. 101 (1987), 685-686 Request permission
Abstract:
In this note, there is presented an essentially shorter proof of the theorem that a composition of d.c. mappings is locally d.c., proved for finite dimensions by P. Hartman in 1959.References
- Philip Hartman, On functions representable as a difference of convex functions, Pacific J. Math. 9 (1959), 707–713. MR 110773, DOI 10.2140/pjm.1959.9.707
- A. Wayne Roberts and Dale E. Varberg, Convex functions, Pure and Applied Mathematics, Vol. 57, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1973. MR 0442824
Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 101 (1987), 685-686
- MSC: Primary 26B25; Secondary 47H99
- DOI: https://doi.org/10.1090/S0002-9939-1987-0911033-4
- MathSciNet review: 911033