Le principe des sous-suites dans les espaces de Banach

Shrishti Dhav Chatterji

Séminaire de probabilités de Strasbourg (1979)

  • Volume: 13, page 4-21

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Chatterji, Shrishti Dhav. "Le principe des sous-suites dans les espaces de Banach." Séminaire de probabilités de Strasbourg 13 (1979): 4-21. <http://eudml.org/doc/113245>.

@article{Chatterji1979,
author = {Chatterji, Shrishti Dhav},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {subsequence principle, Banach space valued random variables; open problems; vector-valued random variables},
language = {fre},
pages = {4-21},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Le principe des sous-suites dans les espaces de Banach},
url = {http://eudml.org/doc/113245},
volume = {13},
year = {1979},
}

TY - JOUR
AU - Chatterji, Shrishti Dhav
TI - Le principe des sous-suites dans les espaces de Banach
JO - Séminaire de probabilités de Strasbourg
PY - 1979
PB - Springer - Lecture Notes in Mathematics
VL - 13
SP - 4
EP - 21
LA - fre
KW - subsequence principle, Banach space valued random variables; open problems; vector-valued random variables
UR - http://eudml.org/doc/113245
ER -

References

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  1. [1] Aldous, D.J.Limit theorems for subsequences of arbitrarily-dependent sequences of random variables. Z. Wahrscheinlichkeitstheorie verw. Gebiete40, 59-82 (1977) Zbl0571.60027MR455090
  2. [2] Billingsley, P.Convergence of probability measures. Wiley, N.Y. (1968) Zbl0172.21201MR233396
  3. [3] Chatterji, S.D. (a) Un principe de sous-suites dans la théorie des probabilités. Séminaire de Prob. VI, Univ. de Strasbourg; Lecture Notes in Maths. No. 258, 72-89, Springer-Verlag, Berlin (1972) Zbl0231.60023MR394810
  4. (b) Les martingales et leurs applications analytiques. Lecture Notes in Maths. No. 307, Springer-Verlag, Berlin (1973) MR448536
  5. (c) A general strong law. Inventiones Math.9, 235-245 (1970) Zbl0193.09301MR266276
  6. (d) A principle of subsequences in probability theory : the central limit theorem. Advances in Maths.13,31-54 (1974); ibid. 14, 266-269 (1974) Zbl0279.60012MR341564
  7. (e) A subsequence principle in probability theory II: the law of the iterated logarithm. Inventiones Math.25, 241-251 (1974) Zbl0285.60017MR358946
  8. (f) On a theorem of Banach and Saks. Linear operators and approximation II Ed. Butzer and Sz.-Nagy, 565-578 (1974) Zbl0326.46013MR397385
  9. (g) Weak convergence in certain special Banach spaces. MRC Technical Summary Report #443, Madison, Wisconsin (1963). 
  10. [4] Diestel, J.Geometry of Banach spaces - selected topics. Lecture Notes in Maths. No. 485, Springer-Verlag, Berlin (1975). Zbl0307.46009MR461094
  11. [5] Diestel, J. and Uhl, J.J. (Jr.)Vector measures. Math. Surveys no. 15, American Mathematical Society, Providence (1977) Zbl0369.46039MR453964
  12. [6] Dinculeanu, N.Vector measures. Pergamon Press, Oxford (1967) MR206190
  13. [7] Erdös, P. and Magidor, M.A note on regular methods of summability and the Banach-Saks property. Proc. Amer. Math. Soc.59, 232-234 (1976). Zbl0355.40007MR430596
  14. [8] Figiel T. and Sucheston L.An application of Ramsey sets in analysis. Advances in Maths.20, 103-105 (1976) Zbl0325.46029MR417757
  15. [9] Gaposhkin, V.F.Convergence and limit theorems for sequences of random variables. Theor. Prob. Appl.17, 379-399 (1972) Zbl0273.60010
  16. [10] Komlòs, J.A generalisation of a problem of Steinhaus. Acta Math. Acad. Sci. Hungar.18, 217-229 (1967) Zbl0228.60012MR210177
  17. [11] Neveu, J.Martingales à temps discret. Masson, Paris (1972) MR402914
  18. [12] Pisier, G.Martingales with values in uniformly convex spaces. Israel Jr. of Maths.20, 326-350 (1975) Zbl0344.46030MR394135
  19. [13] Révész, P.On a problem of Steinhaus. Acta Math. Acad. Sci. Hung.16, 310-318 (1965) Zbl0203.19502MR185647
  20. [14] Suchanek, Ana MariaOn almost sure convergence of Cesaro averages of subsequences of vector-valued functions. Preprint (1977-78) MR520968
  21. [15] Waterman, D. and Nishiura, T.Reflexivity and summability. Studia Math.23, 53-57 (1963) Zbl0121.09402MR155167

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