| Title:
|
Minimal convex-valued weak$^\ast$ USCO correspondences and the Radon-Nikodým property (English) |
| Author:
|
Jokl, Luděk |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
28 |
| Issue:
|
2 |
| Year:
|
1987 |
| Pages:
|
353-376 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46B20 |
| MSC:
|
46B22 |
| MSC:
|
47H05 |
| idZBL:
|
Zbl 0642.46015 |
| idMR:
|
MR904760 |
| . |
| Date available:
|
2008-06-05T21:29:20Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106547 |
| . |
| Reference:
|
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| Reference:
|
[2] E. Asplund R. T. Rockafellar: Gradients of convex functions.Tгans. Ameг. Math. Soc. 139 (1969), 443-467 MR 0240621 |
| Reference:
|
[3] E. Bishop R. R. Phelps: A pгoof that every Banach space is subreflexive.Bull. Amer. Math. Soc. 67 (1961), 97-98 MR 0123174 |
| Reference:
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| Reference:
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[5] A. Brøndsted R. T. Rockafellar: On the subdifferentiability of convex functions.Proc. Amer. Math. Soc. 16 (1965), 605-611. MR 0178103 |
| Reference:
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[6] J. P. R. Christensen: Theorems of Namioka and R. E. Johnson type for upper semicontinuous and compact valued set valued mappings.Proc. Amer. Math. Soc. 86 (1982), 649-655. MR 0674099 |
| Reference:
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[7] J. P. R. Christensen P. S. Kendeгov: Dense strong continuity of mappings and the Radon-Nikodým property.Math. Scand. 54 (1984), 70-78. MR 0753064 |
| Reference:
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[8] J. B. Collieг: The dual of a space with the Radon-Nikodým property.Pacific J. Math. 64 (1976), 103-106. MR 0425580 |
| Reference:
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[9] S. Fitzpatrick: Monotone operatoгs and dentability.Bull. Austral. Math. Soc. 18 (1978), 77-82. MR 0482395 |
| Reference:
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[10] S. Fitzpatгick: Separately related sets and the Radon-Nikodým property.Illinois J. Math. 29 (1985), 229-247. |
| Reference:
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[11] J. R. Giles: On the characterization of Asplund spaces.J. Austral. Math. Soc. (Series A) 32 (1982), 134-144. MR 0643437 |
| Reference:
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[12] J. R. Giles: Convex Analysis with Aplication in Differentiation of Convex Functions.Pitman, London, 1982 MR 0650456 |
| Reference:
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| Reference:
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[14] A. D. Ioffe V. M. Tihomirov: Theory of Extremal Problems.North Holland, Amsterdam, 1979. MR 0528295 |
| Reference:
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[15] L. Jokl: Některé aspekty konvexni analyzy a teorie Asplundových prostorů (Some aspects of convex analysis and the theory of Asplund spaces).CSc - thesis, Prague 1985. |
| Reference:
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[16] L. Jokl: Upper semicontinuous compact valued correspondences and Asplund spaces.to appear. |
| Reference:
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[17] L. Jokl: Convex-velued weak * usco correspondences.Comment. Math. Univ. Carolinae, 28, 1 (1987). MR 0904760 |
| Reference:
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[18] P. S. Kenderov: Semi-continuity of set-valued monotone mappings.Fundamenta Mathematicae, LXXXVIII (1975), 61-69. Zbl 0307.47049, MR 0380723 |
| Reference:
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[19] P. S. Kenderov: Multivalued monotone mappings are almost everywhere single-valued.Studia Mathematica, T. LVI. (1976), 199-203. Zbl 0341.47036, MR 0428122 |
| Reference:
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[20] P. S. Kenderov: Monotone operators in Asplund spaces.C. R. Acad. Sci. Bulgare 30 (1977), 963-964. Zbl 0377.47036, MR 0463981 |
| Reference:
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[21] P. S. Kenderov: Most of the optimization problems have unique solution.International Series of Numerical Mathematics. Vol. 72, 1984, Birkhauser Verlag Basel, 203-216. Zbl 0541.49006, MR 0882205 |
| Reference:
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[22] J. J. Moreau: Semi-continuity du sous-gradient d'une fonctionelle.C. R. Paris 260 (1965), 1067-1070. MR 0173936 |
| Reference:
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| Reference:
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| Reference:
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[26] C. Stegall: Gâteaux differentiation of functions on a certain class of Banach spaces.Funct. Anal. Surveys and Recent Results, Amsterdam 1984, 35-45. Zbl 0548.46037, MR 0761371 |
| Reference:
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[27] C. Stegall: More Gâteaux differentiability spaces, Banach Spaces.Proceedings, Missouri 1984, Lecture Notes in Mathematics, Vol. 1166, Berlin 1985. MR 0827772 |
| . |
