Stepanoff's theorem in separable Banach spaces

Commentationes Mathematicae Universitatis Carolinae

Volumn 39, Issue 2, 1998, Pages 323-335

  Bongiorno, Donatella ^a  

^a UNIVERSITY OF PALERMO   (Italy)

Author keywords

Gateaux differentiable functions; Lipschitz functions at a point; Radon Nikodym property

Indexed keywords

EID: 0011324937     PISSN: 00102628     EISSN: 12137243     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. Aronszajn N., Differentiability of Lipschitzian mappings between Banach spaces, Studia Math. 57 (1976), 147-190
2. Christensen J.P.R., Measure theoretic zero sets in infinite dimensional spaces and applications to differentiability of Lipschitz mappings, 2-ieme Coll. Anal. Fonct. (1973, Bordeaux), Publ. du Dept. Math. Lyon 10-2 (1973), 29-39
3. Diestel J., Uhl J.J., Jr., Vector Measures, AMS, Math. Surveys, 15, Providence, 1977
4. Federer H., Geometric Measure Theory, Springer-Verlag, Berlin, 1969
5. Mankiewicz P., On the differentiability of Lipschitz mappings in Fréchet spaces, Studia Math. 45 (1973), 15-29
6. Phelps R., Gaussian null sets and differentiability of Lipschitz map on Banach spaces, Pacific J. Math. 77 (1978), 523-531
7. Rademacher H., Über partielle und totale Differenzierbarkeit I, Math. Ann. 79 (1919), 254-269
8. Stepanoff W., Über totale Differenzierbarkeit, Math. Ann. 90 (1923), 318-320
9. Stepanoff W., Sur les conditions de l'existence de la differentielle totale, Rec. Math. Soc. Math. Moscou 32 (1925), 511-526