Lipschitz sums of convex functions

• Autorzy: Marianna Csörnyei , Assaf Naor
• Języki publikacji: EN

Abstrakty

EN

We give a geometric characterization of the convex subsets of a Banach space with the property that for any two convex continuous functions on this set, if their sum is Lipschitz, then the functions must be Lipschitz. We apply this result to the theory of Δ-convex functions.

Kategorie tematyczne

• 26B25: Convexity, generalizations
• 52A41: Convex functions and convex programs

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 158
• Numer: 3
• Strony: 269-286

Daty

wydano

2003

Twórcy

autor

Marianna Csörnyei

• Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, United Kingdom

autor

Assaf Naor

• Department of Mathematics, Hebrew University, Givaat-Ram, Jerusalem, Israel

Identyfikatory

DOI

10.4064/sm158-3-6