The Radon-Nikodym property and convergence of amarts in Frechet spaces

Dinh Quang Luu

Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications (1985)

  • Volume: 85, Issue: 3, page 1-19
  • ISSN: 0246-1501

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Dinh Quang Luu. "The Radon-Nikodym property and convergence of amarts in Frechet spaces." Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications 85.3 (1985): 1-19. <http://eudml.org/doc/80613>.

@article{DinhQuangLuu1985,
author = {Dinh Quang Luu},
journal = {Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications},
keywords = {Fréchet space; Radon-Nikodym property; amart; Pettis topology; convergence of amarts},
language = {eng},
number = {3},
pages = {1-19},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {The Radon-Nikodym property and convergence of amarts in Frechet spaces},
url = {http://eudml.org/doc/80613},
volume = {85},
year = {1985},
}

TY - JOUR
AU - Dinh Quang Luu
TI - The Radon-Nikodym property and convergence of amarts in Frechet spaces
JO - Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
PY - 1985
PB - UER de Sciences exactes et naturelles de l'Université de Clermont
VL - 85
IS - 3
SP - 1
EP - 19
LA - eng
KW - Fréchet space; Radon-Nikodym property; amart; Pettis topology; convergence of amarts
UR - http://eudml.org/doc/80613
ER -

References

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  1. [1] Ch. Castaing and M. Valadier, Convex analysis and measurable multifunctions. Lecture Notes in Math. n° 58Springer-Verlag1977. Zbl0346.46038MR467310
  2. [2] S.D. Chaterji, Martingale convergence and the Radon-Nikodym theorem in Banach spaces. Math. Scand.22(1968) 21-41. Zbl0175.14503MR246341
  3. [3] G.Y.H. Chi, A geometric characterization of Fréchet spaces with the Radon-Nikodym property. Proc. Amer. Math. Soc. Vol. 48 n° 2 (1975). Zbl0301.46031MR357730
  4. [4] G.Y.H. Chi, On the Radon-Nikodym theorem and locally convex spaces with the Radon-Nikodym property. Proc. Amer. Math. Soc. Vol. 62, n° 2 (1977) 245-253. Zbl0348.46033MR435338
  5. [5] J.P. Daurès, Opérateurs extrémaux et décomposables, convergence des martingales multivoques. Thèse de Doctorat de Spécialité, Montpellier1972. 
  6. [6] J. Hoffmann-Jørgensen, Vector-Measures, Math. Scand.2B (1971) 5-32. Zbl0217.38001MR306438
  7. [7] D.Q. Luu, Stability and Convergence of Amarts in Fréchet spaces. Acta Math. Acad. Sci. Hungaricae Vol. 45/1-2 (1985) to appear. Zbl0655.46003MR779522
  8. [8] J. Neveu, Martingales à temps discret, Masson et Cie, Paris1972. MR402914
  9. [9] M.A. Rieffel, The Radon-Nikodym theorem for the Bochner integral. T.A.M.S.131(1968) 466-487. Zbl0169.46803MR222245
  10. [10] Rønnov V., On integral representation of vector-valued measures, Math. Scand.21 (1967) 45-53. Zbl0177.18702MR243030
  11. [11] H.H. Schaeffer, Topological Vector Spaces. Macmillan, New York1966. Zbl0141.30503MR193469
  12. [12] J.J. Uhl, Jr Applications of Radon-Nikodym theorems to martingale convergence, T.A.M.S. Vol. 145 (1969) 271-285. Zbl0211.21903MR251756

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