| Title:
|
On the differentiation of convex functions in finite and infinite dimensional spaces (English) |
| Author:
|
Zajíček, Luděk |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
29 |
| Issue:
|
3 |
| Year:
|
1979 |
| Pages:
|
340-348 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
26A27 |
| MSC:
|
46G05 |
| MSC:
|
52A05 |
| idZBL:
|
Zbl 0429.46007 |
| idMR:
|
MR536060 |
| DOI:
|
10.21136/CMJ.1979.101616 |
| . |
| Date available:
|
2008-06-09T14:34:43Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101616 |
| . |
| Reference:
|
[1] R. D. Anderson, V. L. Klee, Jr.: Convex functions and upper semi-continuous collections.Duke Math. J. 19 (1952), 349-357. Zbl 0047.15702, MR 0047346, 10.1215/S0012-7094-52-01935-2 |
| Reference:
|
[2] 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:
|
[3] A. S. Besicovitch: On singular points of convex surfaces.Convexity, Proceddings of Symposia in pure mathematics. Vol. VII, Providence, Rhode Island 1963. Zbl 0138.43303, MR 0152942 |
| Reference:
|
[4] J. P. R. Christensen: Topology and Borel structure.Math. Studies 10, New York, 1974. Zbl 0273.28001, MR 0348724 |
| Reference:
|
[5] G. Durand: Sur une généralisation des surfaces convexes.J. Math. Pures Appl. (9), vol. 10 (1931), 335-414. Zbl 0003.22201 |
| Reference:
|
[6] H. Federer: Geometrie measure theory.New York 1969. MR 0257325 |
| Reference:
|
[7] P. Mankiewicz: On topological, Lipschitz and uniform classification of LF-spaces.Studia Math. 52 (1974), 109-142. Zbl 0328.46005, MR 0402448, 10.4064/sm-52-2-109-142 |
| Reference:
|
[8] K. Reidemeister: Über die singulären Randpunkte eines konvexen Körpers.Math. Ann.. 83 (1921), 116-118. MR 1512003, 10.1007/BF01464232 |
| Reference:
|
[9] А. W. Roberts, D. E. Varberg: Convex functions.New York and London 1973. Zbl 0271.26009, MR 0442824 |
| Reference:
|
[10] F. Mignot: Contrôle dans les inéquations variationelles elliptiques.J. Functional Analysis 22 (1976), 130-185. Zbl 0364.49003, MR 0423155, 10.1016/0022-1236(76)90017-3 |
| . |
