On Fréchet differentiability of convex functions on Banach spaces
Tang, Wee-Kee
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995), p. 249-253 / Harvested from Czech Digital Mathematics Library
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Equivalent conditions for the separability of the range of the subdifferential of a given convex Lipschitz function $f$ defined on a separable Banach space are studied. The conditions are in terms of a majorization of $f$ by a $C^1$-smooth function, separability of the boundary for $f$ or an approximation of $f$ by Fréchet smooth convex functions.

Publié le : 1995-01-01
Classification:  46B03,  46G05,  49J50,  58C20 
@article{118753,
     author = {Wee-Kee Tang},
     title = {On Fr\'echet differentiability of convex functions on Banach spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {36},
     year = {1995},
     pages = {249-253},
     zbl = {0831.46045},
     mrnumber = {1357526},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118753}
}

Tang, Wee-Kee. On Fréchet differentiability of convex functions on Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 249-253. http://gdmltest.u-ga.fr/item/118753/

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