본문 바로가기
KERD
논문KCI 등재

Representation theorems for multivalued pramarts

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

Existence of pramarts selectors for multivalued pramart whose values are convex weakly compact subsets of a separable Banach space E (resp. subsets of a dual space E*) are established. Representation theorems for multivalued pramarts are also presented.

Abstract

Existence of pramarts selectors for multivalued pramart whose values are convex weakly compact subsets of a separable Banach space E (resp. subsets of a dual space E*) are established. Representation theorems for multivalued pramarts are also presented.

참고문헌 (20)

  1. F. Akhiat, "Some various convergence results for multivalued martingales", Adv. Math. Econ, 13, pp.1~33 (2010)
  2. N. Bourbaki, "Elements de mathematiques, Topologie G´enerale" (1971), Hermann
  3. C. Castaing, "Weak star convergence of martin- gales in a dual space, Function spaces IX", Banach Center Publ., 92, pp.45~73 (2011), Polish Acad. Sci. Inst. Math.
  4. C. Castaing, "Convergence of multivalued pramarts", J. Nonlinear Convex Anal, 11(2), pp.243~266 (2010)
  5. C. Castaing, "Convergences in a dual space with applications to Fatou lemma", Adv. Math. Econ, 12, pp.23~69 (2009)
  6. C. Castaing, "Convex Analysis and Measurable Multifunctions", Lectures Notes, 580 (1977), Springer-Verlag
  7. A. Choukairi-Dini, "et r´egularit´e des martingales multivoques: epi-martingales", J. Multivariate Anal, 33(1), pp.49~71 (1990)
  8. A. Choukairi-Dini, "On almost sure convergence of vector valued pramarts and multivalued pra- marts", J. Convex Anal, 3(2), pp.245~254 (1996)
  9. L. Egghe, "Stopping time techniques for analysts and probabilists" (1984), Cambridge Univ. Press
  10. L. Egghe, "Strong convergence of pramarts in Banach spaces", Canad. J. Math, 33(2), pp.357~361 (1981)
  11. C. Hess, "On multivalued martingales whose values may be unbounded: martingale selec- tors and Mosco convergence", J. Multivariate Anal, 39(1), pp.175~201 (1991)
  12. F. Hiai, "Integrals, conditional expectations and martingales of multi- valued functions", J. Multivariate Anal, 7(1), pp.149~182 (1977)
  13. S. Li, "Convergnece of set valued sub-and supermartingales in the Kuratowski-Mosco sense", Ann. Prob, 26(3), pp.1384~1402 (1998)
  14. D. Q. Lu’u, "Representations and regularity of multivalued martingales", Acta Math. Vietnam, 6(2), pp.29~40 (1981)
  15. D. Q. Lu’u, "On convergence of multivalued asymptotic martingales, S´eminaire d’analyse convexe", S´eminaire d’analyse convexe, 14(5), pp.23~ (1984), Univ. Sci. Tech. Languedoc
  16. D. Q. Lu’u, "Representations of multivalued (regular) uniform amarts", S´eminaire d’analyse convexe, 14(9), pp.33~ (1984), Univ. Sci. Tech. Languedoc
  17. J. Neveu, "Convergence presque sˆur de martingales multivoques", Ann. Inst. H. Poincar´e Sect. B (N.S.), 8(1), pp.1~7 (1972)
  18. M. Valadier, "On conditional expectation of random sets", Ann. Mat. Pura Appl. (4), 126(4), pp.81~91 (1980)
  19. Z. P. Wang, "On convergence and closedness of multivalued martingales", Trans. Amer. Math. Soc, 341(2), pp.807~827 (1994)
  20. Z. P. Wang, "Some remarks on pramarts and mils", Glasg. Math. J, 35(2), pp.239~251 (1993)

관련 논문AI추천

이 간행물의 다른 논문 (13건)