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Differenziabilita delle funzioni convesse a valori in spazi di successioni. (Italian) Zbl 0261.46046
MSC:
46G05 Derivatives of functions in infinite-dimensional spaces
26A51 Convexity of real functions in one variable, generalizations
58C20 Differentiation theory (Gateaux, Fréchet, etc.) on manifolds
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References:
[1] Asplund , E. : Fréchet differentiability of convex functions , Acta Mathematica ,, 121 ( 1968 ). MR 231199 | Zbl 0162.17501 · Zbl 0162.17501
[2] Moreau J.J. : Séminaire sur les equations aux derivées partielles , Fonctionnelles Convex, College de France ( 1966 - 1967 ). Numdam | MR 390443
[3] Moureau , J. : Inf-Convolution, Sous-Addivité, Convexité Des Fonctions Numeriques , J. Math. Pures Appl. , 49 ( 1970 ), pp. 109 - 154 . MR 288602 | Zbl 0195.49502 · Zbl 0195.49502
[4] Muratori , P. : Sulla differenziabilità secondo Gateaux di inviluppi superiori di funzioni negli spazi di Banach , Boll. Un. Mat. Ital. ( 4 ), 4 ( 1971 ), 789 - 814 . MR 298418 | Zbl 0222.46027 · Zbl 0222.46027
[5] Muratori , P. : Sulla derivabilità degli inviluppi superiori di funzioni , Boll. Un. Mat. Ital. ( 4 ), 5 ( 1972 ), 319 , 332 . MR 308781 | Zbl 0246.46035 · Zbl 0246.46035
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