Geodesic
Lipschitz sums of convex functions
Marianna Csörnyei1 ; Assaf Naor2
1Department of Mathematics University College London Gower Street London, WC1E 6BT, United Kingdom
2Department of Mathematics Hebrew University, Givaat-Ram Jerusalem, Israel
Studia Mathematica, Tome 158 (2003) no. 3, pp. 269-286
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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 ${\mit \Delta }$-convex functions.
DOI : 10.4064/sm158-3-6
Keywords: geometric characterization convex subsets banach space property convex continuous functions set their sum lipschitz functions lipschitz apply result theory mit delta convex functions

Marianna Csörnyei  1   ; Assaf Naor  2

1 Department of Mathematics University College London Gower Street London, WC1E 6BT, United Kingdom
2 Department of Mathematics Hebrew University, Givaat-Ram Jerusalem, Israel 
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Marianna Csörnyei; Assaf Naor. Lipschitz sums of convex functions. Studia Mathematica, Tome 158 (2003) no. 3, pp. 269-286. doi: 10.4064/sm158-3-6

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