| Title:
|
Smallness of sets of nondifferentiability of convex functions in non-separable Banach spaces (English) |
| Author:
|
Zajíček, Luděk |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
41 |
| Issue:
|
2 |
| Year:
|
1991 |
| Pages:
|
288-296 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46B26 |
| MSC:
|
46G05 |
| MSC:
|
47H99 |
| idZBL:
|
Zbl 0768.58005 |
| idMR:
|
MR1105445 |
| DOI:
|
10.21136/CMJ.1991.102462 |
| . |
| Date available:
|
2008-06-09T15:39:16Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102462 |
| . |
| Reference:
|
[1] N. Aronszajn: Differentiability of Lipschitzian mappings between Banach spaces.Studia Math. 57 (1976), 147-190. Zbl 0342.46034, MR 0425608, 10.4064/sm-57-2-147-190 |
| Reference:
|
[2] P. S. Kenderov: The set-valued monotone mappings are almost everywhere single-valued.C. R. Acad. Bulgare Sci. 27 (1974), 1173-1175. Zbl 0339.47024, MR 0358447 |
| Reference:
|
[3] P. S. Kenderov: Monotone operators in Asplund spaces.C. R. Acad. Bulgare Sci. 30 (1977), 963-964. Zbl 0377.47036, MR 0463981 |
| Reference:
|
[4] S. V. Konjagin: On the points of the existence and nonunicity of elements of the best approximation.(in Russian), in Teorija funkcij i ee prilozhenija, P. L. Uljanov ed., Izdatelstvo Moskovskovo Universiteta, pp. 38-43, Moscow (1986). |
| Reference:
|
[5] K. Kuratowski: Topology, Vol. I.(transl.), Academic Press, New York (1966). Zbl 0158.40901, MR 0217751 |
| Reference:
|
[6] R. R. Phelps: Convex functions, monotone operators and differentiability.Lect. Notes in Math., Nr. 1364, Springer-Verlag, (1989). Zbl 0658.46035, MR 0984602 |
| Reference:
|
[7] D. Preiss, L. Zajíček: Fréchet differentiation of convex functions in a Banach space with a separable dual.Proc. Amer. Math. Soc. 91 (1984), 202-204. MR 0740171 |
| Reference:
|
[8] D. Preiss, L. Zajíček: Stronger estimates of smallness of sets of Fréchet nondifferentiability of convex functions.Proc. 11th Winter School, Suppl. Rend. Circ. Mat. Palermo, Ser. II, No. 3 (1984), 219-223. MR 0744387 |
| Reference:
|
[9] L. Zajíček: On the differentiation of convex functions in finite and infinite dimensional spaces.Czechoslovak Math. J. 29 (104) (1979), 340-348. MR 0536060 |
| Reference:
|
[10] L. Zajíček: Differentiability of the distance function and points of multi-valuedness of the metric projection in Banach space.Czechoslovak Math. J. 33 (108), (1983), 292-308. MR 0699027 |
| Reference:
|
[11] L. Zajíček: Porosity and $\sigma$-porosity.Real Analysis Exchange 13 (1987-88), 314 - 350. MR 0943561 |
| Reference:
|
[12] L. Zajíček: On the points of multivaluedness of metric projections in separable Banach spaces.Comment. Math. Univ. Carolinae 19 (1978), 513-523. MR 0508958 |
| . |
