Absolutely summing operators and measure amarts in Fréchet spaces

d. Quang Luu

Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications (1986)

  • Volume: 88, Issue: 5, page 49-71
  • ISSN: 0246-1501

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d. Quang Luu. "Absolutely summing operators and measure amarts in Fréchet spaces." Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications 88.5 (1986): 49-71. <http://eudml.org/doc/80634>.

@article{d1986,
author = {d. Quang Luu},
journal = {Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications},
keywords = {absolutely summing operators; convergence of vector-valued asymptotic martingales in Fréchet spaces},
language = {eng},
number = {5},
pages = {49-71},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {Absolutely summing operators and measure amarts in Fréchet spaces},
url = {http://eudml.org/doc/80634},
volume = {88},
year = {1986},
}

TY - JOUR
AU - d. Quang Luu
TI - Absolutely summing operators and measure amarts in Fréchet spaces
JO - Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
PY - 1986
PB - UER de Sciences exactes et naturelles de l'Université de Clermont
VL - 88
IS - 5
SP - 49
EP - 71
LA - eng
KW - absolutely summing operators; convergence of vector-valued asymptotic martingales in Fréchet spaces
UR - http://eudml.org/doc/80634
ER -

References

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  1. [1] Bellow, A.On vector-valued asymptotic martingales. Proc. Nat. Acad. Sci. USA13, 6(1976) p. 1798-1799. Zbl0366.60067MR407966
  2. [2] Bellow, A.Les amarts uniformes. C.R. Acad. Sci. Paris, t. 284, Sér. A (1977) p. 1295-1298. Zbl0359.60047MR445602
  3. [3] Blondia, C.Locally convex spaces with Radon-Nikodym property. Math. Nachr.114 (1983) 335-341. Zbl0557.46015MR745066
  4. [4] Bru, B. - Heinich, H.Sur l'espérance des variables aléatoires vectorielles. Ann. Inst. Henri Poincaré, Vol. 16, N° 3 (1980) 177-196. Zbl0472.60010MR595198
  5. [5] Chacon, R.V. - Sucheston, L.On convergence of vector-valued asymptotic martingales. Z. Wahrsch. Verw.33 (1975) 55-59. Zbl0297.60005MR394859
  6. [6] Chi, G.Y.H.A geometric characterization of Fréchet spaces with the Radon-Nikodym property. Proc. Amer. Math. Soc. Vol. 48, N° 2 (1975) 371-380. Zbl0301.46031MR357730
  7. [7] Chi, G.Y.H.On the Radon-Nikodym theorem and locally convex spaces with the Radon-Nikodym property. Proc. Amer. Math. Soc. Vol. 62, N° 2 (1977) 245-252. Zbl0348.46033MR435338
  8. [8] Dinh Quang Luu.Stability and convergence of amarts in Fréchet spaces. Acta Math. Acad. Sci. Hungaricae Vol. 45/1-2 (1985) to appear. Zbl0655.46003MR779522
  9. [9] Dinh Quang Luu.The Radon-Nikodym property and convergence of amarts in Fréchet spaces. Ann. Inst. Clermont N° 3 (to appear). Zbl0568.60045
  10. [10] Edgar, G.A. - Sucheston, L.Amarts: a class of asymptotic martingales (Discrete parameter). J. Multiv. Anal.6(1976) 193-221. Zbl0336.60033MR413251
  11. [11] Edgar, G.A. - Sucheston, L.On vector-valued amarts and dimension of Banach spaces. Z. Wahrsch. Verw.39 (1977) 213-216. Zbl0364.60075MR448537
  12. [12] Egghe, L.Characterizations of nuclearity in Fréchet spaces. J. Funct. Anal.35, 2(1980) 207-214. Zbl0422.46001MR561986
  13. [13] Egghe, L.Weak and strong convergence of amarts in Fréchet spaces. J. Multiv. Anal. (1982) 291-305. Zbl0485.60003MR661565
  14. [14] Ghoussoub, N.Summability and vector amarts. J. Multiv. Anal.9 (1979) 173-178. Zbl0407.60043MR530649
  15. [15] Neveu, J.Martingales à temps discret. Masson et Cie, Paris1972. MR402914
  16. [ 16] Piestch, A.Nuclear locally convex spaces, Springer-Verlag, Berlin1972. MR350360
  17. [17] Saab, E.On the Radon-Nikodym property in a class of locally convex spaces. Pacific J. Math.75, 1 (1978) 281-291. Zbl0374.46002MR500045
  18. [18] Uhl, J.J.Jr. Pettis mean convergence of vector-valued asymptotic martingales. Z. Wahrsch. Verw.37(1977) 291-295. Zbl0325.60046MR571670
  19. [19] Yosida, K.Functional Analysis. Springer-Verlag, Berlin, Göttingen, Heidelberg1965. Zbl0126.11504

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