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Compactness theorems of measurable selections and integral representation theorem

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Part of the Lecture Notes in Mathematics book series (LNM,volume 580)

Keywords

  • Banach Space
  • Unit Ball
  • Weak Topology
  • Separable Banach Space
  • Empty Convex

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Bibliographi of Chapter V

  1. BOURBAKI, N.: Integration vectorielle. chapitre 6. Hermann Paris 1959

    Google Scholar 

  2. BISMUT, J.M.: Intégrales convexes et Probabilités. Journal Math. Analysis and Applications 42, 639–673 (1973).

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. CASTAING, Ch: Quelques applications du théorème de Banach Dieudonné à l'Intégration. Faculté des Sciences Montpellier Publication no67 (1969–1970).

    Google Scholar 

  4. CASTAING, Ch.: Quelques résultats de compacité liés à l'Intégration. C.R. Acad. Sc. Paris 270, 1732–1735 (1970) et Bulletin Soc. Math. France, 31, 73–81 (1972).

    MathSciNet  MATH  Google Scholar 

  5. CASTAING, Ch.: Le théorème de Dunford-Pettis généralisé. Faculté des Sciences Montpellier. Publication no43 (1968–1969) et C.R. Acad. Sc. Paris 268, 327–329 (1969).

    MathSciNet  MATH  Google Scholar 

  6. CASTAING, Ch.: Proximité et mesurabilité. Un théorème de compacité faible. Colloque sur la théorie mathématique du contrôle optimal, Bruxelles, 1969.

    Google Scholar 

  7. CASTAING, Ch., VALADIER, M.: Equations différentielles multivoques dans les espaces vectoriels localement convexes. Revue Informatique et de Recherche Opérationnelle 16, 3–16 (1969).

    MathSciNet  Google Scholar 

  8. CLAUZURE, P.: Dualité et compacité dans les espaces de Köthe généralisés. C.R. Acad. Sc. Paris 278, 1710–1713 (1972).

    MathSciNet  Google Scholar 

  9. DEBREU, G., SCHMEIDLER, D.: The Ralon Nikolym derivative of a correspondence. Proc. Sixth Berkeley Symposium on mathematical Statistics and Probability 1971.

    Google Scholar 

  10. GROTHENDIECK, A.: Espaces vectoriels topologiques. Sao Paulo.

    Google Scholar 

  11. GROTHENDIECK, A.: Sur les applications linéaires faiblement compactes du type C(K). Canadian Journal of Math. 5, 129–173 (1953).

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. MEYER, P.A.: Probabilités et Potentiel. Hermann Paris 1966.

    MATH  Google Scholar 

  13. PIETSCH, A.: Nuckleare lokalconvexe Raüme, Berlin: Akad-Verl. 1965.

    Google Scholar 

  14. ROCKAFELLAR, R.T.: Integrals which an convex functionals II. Pacific Journal of Math. 39–2, 439–469 (1971).

    CrossRef  MathSciNet  Google Scholar 

  15. ROCKAFELLAR, R.T.: Convex integrals functionals and duality. Contributions to non linear functional analysis. Academic press, 215–236 (1971).

    Google Scholar 

  16. STRASSEN, V.: The existence of probability measures with given marginals. Ann. Math. Stat. 38, 423–439 (1965).

    CrossRef  MathSciNet  Google Scholar 

  17. TREVES, F: Topological vector spaces, distributions, and kernels. Academic Press 1967.

    Google Scholar 

  18. TULCEA, A., TULCEA. C.: Topics in the theory of liftings. Springer-Verlag. Berlin Heidelberg New York 1969.

    CrossRef  Google Scholar 

  19. VALADIER, M.: Un théorème d'inf-compacité. Exposé no14, Séminaire d'Analyse Convexe Montpellier 1971.

    Google Scholar 

  20. VALADIER, M.: Sur le théorème de Strassen. C.R. Acad. Sc. Paris, 278, (1974) et Exposé no4, Séminaire d'Analyse convexe Montpellier 1974.

    Google Scholar 

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Castaing, C., Valadier, M. (1977). Compactness theorems of measurable selections and integral representation theorem. In: Convex Analysis and Measurable Multifunctions. Lecture Notes in Mathematics, vol 580. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087690

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  • DOI: https://doi.org/10.1007/BFb0087690

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  • Print ISBN: 978-3-540-08144-9

  • Online ISBN: 978-3-540-37384-1

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