| Title:
|
Generic differentiability of mappings and convex functions in Banach and locally convex spaces (English) |
| Author:
|
Le Van Hot |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
23 |
| Issue:
|
2 |
| Year:
|
1982 |
| Pages:
|
207-232 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46A55 |
| MSC:
|
46B20 |
| MSC:
|
46G05 |
| MSC:
|
47H15 |
| MSC:
|
47H99 |
| MSC:
|
58C20 |
| MSC:
|
58C25 |
| idZBL:
|
Zbl 0533.46030 |
| idMR:
|
MR664969 |
| . |
| Date available:
|
2008-06-05T21:11:20Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106147 |
| . |
| Reference:
|
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| Reference:
|
[2] N. ARONSZAJN: Differentiability of Lipschitzian mappings between Banach spaces.Studia Math. 57 (1976), 147-190. Zbl 0342.46034, MR 0425608 |
| Reference:
|
[3] E. ASPLUND: Fréchet differentiability of convex functions.Acta Math. 121 (1968), 31-48. Zbl 0162.17501, MR 0231199 |
| Reference:
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[4] E. ASPLUND R. J. ROCKAFFELAR: Gradients of convex functions.Trans. Amer. Math. Soc. 139 (1969), 443-467. MR 0240621 |
| Reference:
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[5] J. M. BORWEIN: Weak local supportability and application to approximation.Pacific J. Math. 82 (1979), 323-338. MR 0551692 |
| Reference:
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[6] J. R. CHRISTENSEN: Topology and Borel structure.Math. Studia No. 10 North-Holland, Amsterdam 1974. Zbl 0273.28001 |
| Reference:
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[7] F. H. CLARK: Generalized gradients and applications.Trans. Amer. Math. Soc. 205 (1975), 247-262. MR 0367131 |
| Reference:
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[8] J. B. COLLIER: A claas of strong differentiability spaces.Proc. Amer. Math. Soc. 53 (1975), 420-422. MR 0388044 |
| Reference:
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[9] J. DIESTEL: Geometry of Banach spaces.Lecture Notes in Math. No. 485, Springer-Verlag 1975. Zbl 0307.46009, MR 0461094 |
| Reference:
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[10] G. EDGAR: Meaaurability in Banach spaces.Indiana Univ. Math. J. 26 (1977), 663-677. |
| Reference:
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[11] I. EKELAND G. LEBOURG: Generic differentiability and perturbed optimization problems in Banach spaces.Trans. Amer. Math. Soc. 224 (1976), 193-216. MR 0431253 |
| Reference:
|
[12] R. E. HUFF P. D. MORRIS: Dual spaces with the Krein-Milman property have the Radon-Nikodym property.Proc. Amer. Math. Soc. 49 (1975), 104-108. MR 0361775 |
| Reference:
|
[13] KA SING LAU C. E. WEIL: Differentiability via directional derivatives.Proc. Amer. Math. Soc. 70 (1978), 11-1. MR 0486354 |
| Reference:
|
[14] J. KOLOMÝ: On the differentiability of operators and convex functions.Comment. Math. Univ. Carolinae 9 (1968), 441-454. MR 0238077 |
| Reference:
|
[15] M. K. KRASNOSELSKIJ P. P. ZABREJKO E. I. PUSTYLNIK P. E. SOBOLEVSKIJ: Integralnyje operatory v prostranstvach summirujemych funkcij.Moskva 1966. |
| Reference:
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[16] KUTATELADZE: Vypuklyje operatory.Uspechy Mat. nauk 34 (1979), 167-196. |
| Reference:
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[17] D. G. LARMAN R. R. PHELPS: Gâteaux differentiability of convex functions on Banach spaces.London Math. Soc. 20 (1979), 115-127. MR 0545208 |
| Reference:
|
[18] G. LEBOURG: Generic differentiability of Lipschitzian functions.Trans. Amer. Math. Soc. 256 (1979), 125-144. Zbl 0435.46031, MR 0546911 |
| Reference:
|
[19] P. MANKIEWICZ: On Lipschitz mapping between Fréchet spaces.Studia Math. 41 (1972), 225-241. MR 0308724 |
| Reference:
|
[20] F. MIGNOT: Côntrol danse lea variationelles elliptiques.J. Functional Analysis 22 (2) (1976). MR 0423155 |
| Reference:
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[21] I. NAMIOKA R. R. PHELPS: Banach spaces which are Asplund spaces.Duke Math. J.-42 (1975), 735-750. MR 0390721 |
| Reference:
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[22] K. RITTER: Optimization theory in linear spaces: part III, Mathematical programming in partial ordered Banach spaces.Math. Ann. 184 (1970), 133-154. MR 0258468 |
| Reference:
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[23] H. H. SCHAEFER: Banach lattices and positive operators.Springer-Verlag, New York 1974. Zbl 0296.47023, MR 0423039 |
| Reference:
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[24] M. TALAGRAND: Deux examples de fonetions convexes.C.R. Acad. Sci. AB 288, No 8 (1979), A461-A464. MR 0527697 |
| Reference:
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[25] M. M. VAJNBERG: Variacionnyje metody issledovanija neline jnych operatorov.Nauka, Moskva 1956. |
| Reference:
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[26] S. YAMAMURO: Differential calculus in topological linear spaces.Lecture Notes in Mathematics No 374, Springer-Verlag, New York 1974. Zbl 0276.58001, MR 0488118 |
| Reference:
|
[27] Ch. STEGALL: The duality between Asplund spaces and spaces with Radon-Nikodym property.Israel J. Math. 59 (1978), 408-412. MR 0493268 |
| . |
