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Tytuł artykułu

Convergence results for a class of pramarts and superpramarts in Banach spaces

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
Rocznik
Strony
223--253
Opis fizyczny
Bibliogr. 32 poz.
Twórcy
autor
  • Départment de Mathématiques, Université Montpellier II, 34095 Montpellier Cedex 5, France
autor
  • Dipartimento di Matematica, Universitetà Perugia, via Vanvitelli 1, 06123 Perugia, Italia
Bibliografia
  • [1] F. Akhiat, C. Castaing and F. Ezzaki, Some various convergence results for multivalued martingales, Adv. Math. Vol 13 (2010) 1-33.
  • [2] F. Akhiat and F. Ezzaki, Representation theorem for multivalued pramarts, J. Korean Math. Soc. 2013, Vol 50, No 1, 1-16
  • [3] A. Amrani, C. Castaing and M. Valadier, Méthodes de troncature appliquées a des problemes de convergence faible ou forte dans L1, Arch. Rational Mech. Anal. Vol 117 (1992), 167-191.
  • [4] G. Beer,Topologies on closed convex sets, Mathematics and its applications 268, Kluwer Academic Publishers, Dordrecht, the Netherlands, 1993.
  • [5] C. Castaing, Compacité et inf-equicontinuity dans certains espaces de K¨othe-Orlicz, Sém. Anal. Convexe, Montpellier, Exposé No 6 (1979).
  • [6] J. K. Brooks and R.V. Chacon, Continuity and Compactness of measures, Advances in Math. 37 (1980), 16-26.
  • [7] C. Castaing and P. Clauzure, Compacité faible dans l’ espace L1 E et dans l’ espace des multifonctions intégrablement bornées, et minimisation, Ann. Math. Pura Appli. (IV), Vol CXL (1985), 345-364.
  • [8] C. Castaing, F. Ezzaki, M. Lavie and M. Saadoune, Weak star convergence of martingales in a dual space, Proceedings of the 9-th edition of the International Conference on Function Spaces, Krakow, Poland; Banach Center Publications, Institute of Mathematics, Polish Academy of Sciences, Warszawa 2011.
  • [9] C. Castaing, F. Ezzaki and K. Tahri, Convergences of multivalued pramarts, Journal of Nonlinear and Convex Analysis, Vol 10, No 2 (2010), 243-266.
  • [10] C. Castaing, P. Raynaud de Fitte and M. Valadier, Young measures on Topological Spaces. With Applications in Control Theory and Probability Theory. Kluwer Academic Publishers, Dordrech, 2004.
  • [11] C. Castaing and M. Valadier, Convex Analysis and Measurable multifunctions, Lecture Notes in Math., Vol. 580, Springer-Verlag, Berlin and New York, 1977.
  • [12] A. Choukairi-Dini, Sur les suites adaptées et ensembles de Radon-Nikodym: Convergence, Regularité, Approximation, Thèse de Doctorat d’Etat, Université Mohamemed V, Faculté des Science de Rabat, 1985.
  • [13] A. Choukairi-Dini, On almost sure convergence of vector valued pramarts and multivalued pramarts, J. Convex Anal 3 (1996), 245-254.
  • [14] A. Costé, Contribution a la théorie de l’integration multivoque, These de Doctorat, Paris, 1977.
  • [15] W. J. Davis, N. Ghoussoub and J. Lindenstrauss, A lattice renorming theorem and applications to vector-valued processes, Trans. Amer. Math. Soc. No 2 263 (1981), 531-540.
  • [16] W. J. Davis, N. Ghoussoub, W. B. Johnson, S. Kwapien and B. Maurey, Weak convergence of vector-valued martingales, Probability in Banach spaces 6 (Sandbjerg 1986), 41-40, Birkhauser Boston, Boston, Ma, 1990.
  • [17] J. Diestel and J. J. Uhl, JR, Vector measures, Mathematical Surveys, No 15 (1977), American Mathematical Society, Providence, Rhode Island.
  • [18] L. Egghe, Stopping time techniques for analysts and probabilists, Cambridge Univ. Press, London and New York, 1984.
  • [19] R.V. Gaposkhin, Convergence and limit theorems for sequences of random variables, Theory Prob. App. 17 (3) 1972) 379-400.
  • [20] C. Godet-Thobie, Multimesures et multimesures de transition, These de Doctorat, Université Montpellier, 1975.
  • [21] C. Hess, On multivalued Martingales Whose Values May Be Unbounded: Selectors and Mosco Convergence, J Multi. Anal. Vol. 39, No 1, 1991.
  • [22] F. Hiai and H. Umegaki, Integrals, conditional expectations and martingales of multivalued functions, J. Multi. Anal. 7 (1977), 149-182.
  • [23] N. E. Frangos, On convergence of vector-valued pramarts and subpramarts, Canad. J. Math. 37 (1985), 260-270.
  • [24] G. Krupa, Convergence of multivalued mils and pramarts in spaces without the RNP, Studia Scientiarum Matheticarum Hungaria 40 (2003), 13-21.
  • [25] U. Mosco, Convergence of convex sets and solutions of variational inequalities, Adv. Math. 3 (1969), 510-585.
  • [26] N. Neveu, Martingales a temps discret, Masson et Cie, Editeur 1972.
  • [27] M. Saadoune, On strong convergence of pramarts in Banach spaces, Probability and Mathematicsl Statistics, Vol 33, Fas 1 (2013), 1-27.
  • [28] M. Slaby, Strong convergence of vector valued pramarts and subpramarts, Prob.Math. Stat. 5, fasc. 2 (1985), 187-196.
  • [29] M. Talagrand, Some structure results for martingales in the limit and pramarts, The Annals of Probability 13, No 40 (1985), 1192-1203.
  • [30] M. Tsukada, Convergences of best approximations in a smooth space, J. Approx. Theory, Vol 40 (1984), 301-309.
  • [31] M. Valadier, On Conditional Expectation of Random Sets, Annali Math. Pura Appl. (iv), Vol. CXXVI (1980), 81-91.
  • [32] Wang Rongming, Essential (Convex) Closure of a Family of Random Sets and its Applications, JMAA, Vol 262 (2001), 667-687.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-428bf8af-7930-4744-9de8-dac23207435d
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