Geodesic
On the differentiation of convex functions in finite and infinite dimensional spaces
Czechoslovak Mathematical Journal, Tome 29 (1979) no. 3, pp. 340-348
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DOI : 10.21136/CMJ.1979.101616
Classification : 26A27, 46G05, 52A05 
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Zajíček, Luděk. On the differentiation of convex functions in finite and infinite dimensional spaces. Czechoslovak Mathematical Journal, Tome 29 (1979) no. 3, pp. 340-348. doi: 10.21136/CMJ.1979.101616

[1] R. D. Anderson, V. L. Klee, Jr.: Convex functions and upper semi-continuous collections. Duke Math. J. 19 (1952), 349-357. | DOI | MR | Zbl

[2] N. Aronszajn: Differentiability of Lipschitzian mappings between Banach spaces. Studia Math. 57 (1976), 147-190. | DOI | MR | Zbl

[3] A. S. Besicovitch: On singular points of convex surfaces. Convexity, Proceddings of Symposia in pure mathematics. Vol. VII, Providence, Rhode Island 1963. | MR | Zbl

[4] J. P. R. Christensen: Topology and Borel structure. Math. Studies 10, New York, 1974. | MR | Zbl

[5] G. Durand: Sur une généralisation des surfaces convexes. J. Math. Pures Appl. (9), vol. 10 (1931), 335-414. | Zbl

[6] H. Federer: Geometrie measure theory. New York 1969. | MR

[7] P. Mankiewicz: On topological, Lipschitz and uniform classification of LF-spaces. Studia Math. 52 (1974), 109-142. | DOI | MR | Zbl

[8] K. Reidemeister: Über die singulären Randpunkte eines konvexen Körpers. Math. Ann.. 83 (1921), 116-118. | DOI | MR

[9] А. W. Roberts, D. E. Varberg: Convex functions. New York and London 1973. | MR | Zbl

[10] F. Mignot: Contrôle dans les inéquations variationelles elliptiques. J. Functional Analysis 22 (1976), 130-185. | DOI | MR | Zbl

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