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Random series in the real interpolation spaces between the spaces v p

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Geometrical Aspects of Functional Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1267))

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References

  1. J. Bergh, J. Löfström. Interpolation spaces. An Introduction. Springer-Verlag. Berlin-Heidelberg-New York (1976).

    Book  MATH  Google Scholar 

  2. J. Bergh, J. Peetre. On the spaces V p (0<p≤∞). Bollettino della Unione Matematica Italiana. 10 (1974) 632–648.

    MathSciNet  MATH  Google Scholar 

  3. J. Bretagnolle. p-variation des fonctions aléatoires. Séminaire de Probabilités VI (1972) Springer Lecture Notes No. 258, p. 51–71.

    Google Scholar 

  4. P.L. Butzer, H. Behrens. Semi-groups of operators and approximation. Springer-Verlag. Berlin-Heidelberg-New York (1967).

    Book  Google Scholar 

  5. W.J. Davis, W.B. Johnson and J. Lindenstrauss. The ℓ n1 problem and degrees of non reflexivity. Studia Math. 55 (1976), 123–139.

    MathSciNet  MATH  Google Scholar 

  6. W.J. Davis, J. Lindenstrauss. The ℓ n1 problem and degrees of non-reflexivity II. Studia Math. 58 (1976) 179–196.

    MathSciNet  MATH  Google Scholar 

  7. W.J. Davis, T. Figiel, W. Johnson, A. Pełczyński. Factoring weakly compact operators. Journal of Funct. Anal. 17 (1974) 311–327.

    Article  MathSciNet  MATH  Google Scholar 

  8. J. Farahat. On the problem of k structure. Israel J. Math. 28 (1977) 141–150.

    Article  MathSciNet  MATH  Google Scholar 

  9. T. Holmsted. Interpolation of quasi-normed spaces. Math. Scand 26 (1970) 177–199.

    MathSciNet  Google Scholar 

  10. R.C. James. A nonreflexive Banach space that is uniformly nonoctahedral. Israel J. Math. 18 (1974) 145–155.

    Article  MathSciNet  MATH  Google Scholar 

  11. R.C. James. Nonreflexive spaces of type 2. Israel J. Math. 30 (1978) 1–13.

    Article  MathSciNet  MATH  Google Scholar 

  12. R.C. James. Some self-dual properties of normed linear spaces. Annals of Math Studies. No. 69 (1972) 159–175.

    Google Scholar 

  13. R.C. James. Uniformly nonsquare Banach spaces. Annals of Math. 80 (1964) 542–550.

    Article  MATH  Google Scholar 

  14. R.C. James. Banach spaces quasi-reflexive of order one. Studia Math. 60 (1977) 157–177.

    MathSciNet  MATH  Google Scholar 

  15. R.C. James. Characterizations of reflexivity. Studia Math. 23 (1964) 205–216.

    MathSciNet  MATH  Google Scholar 

  16. R.C. James. Reflexivity and the supremum of linear functionals. Annals of Math. 66 (1957) 159–169.

    Article  MathSciNet  MATH  Google Scholar 

  17. R.C. James, J. Lindenstrauss. The octohedral problem for Banach spaces. Proceedings of the Seminar on Random Series, Convex Sets, and Geometry of Banach Spaces. Aarhus University (Denmark) 1974 p. 100–120.

    Google Scholar 

  18. W. Johnson, L. Tzafrari. Some more Banach spaces which do not have local unconditional structure. Houston J. Math. 3 (1977) 55–60.

    MathSciNet  Google Scholar 

  19. M.I. Kadeč. The superreflexivity property of a Banach space in terms of the closeness of its finite dimensional subspaces to Euclidean spaces. Functional analysis and its Applications 12 (1978) 142–144.

    Article  Google Scholar 

  20. A. Kruglov. On some spaces of means. Vestnik Leningr. Univ. 1 (1972) 155–156.

    MathSciNet  MATH  Google Scholar 

  21. A. Kruglov, M. Solomjak. Interpolation of operators in the spaces V p . Vestnik Leningrad Univ. (1971) No. 13. Translated Vol 4 (1977) 209–216.

    Google Scholar 

  22. S. Kwapień. Isomorphic characterization of inner-product spaces by orthogonal series with vector valued coefficients. Studia Math. 44 (1972) 583–595.

    MathSciNet  MATH  Google Scholar 

  23. J. Lindenstrauss, A. Pełczyński. Absolutely summing operators in L p -spaces and their applications. Studia Math. 29 (1968) 275–326.

    MathSciNet  MATH  Google Scholar 

  24. J. Lindenstrauss, L. Tzafriri. Classical Banach spaces I. Springer-Verlag. Berlin, Heidelberg, New York (1977).

    Book  MATH  Google Scholar 

  25. J. Lindenstrauss, L. Tzafriri. Classical Banach spaces II. Springer-Verlag. Berlin, Heidelberg, New York (1979).

    Book  MATH  Google Scholar 

  26. B. Maurey, G. Pisier. Séries de variables aléatories vectorielles indépendantes et propriétés géométriques des espaces de Banach. Studia Math. 58 (1976), 45–90.

    MathSciNet  MATH  Google Scholar 

  27. P. Millar. Path behavior of processes with stationary independent increments. Z. für Wahrshein. 17 (1971), 53–73.

    Article  MathSciNet  MATH  Google Scholar 

  28. M. Milman. Complex interpolation and geometry of Banach spaces. Ann. Mat. Pura Appl. 136 (1984), 317–328.

    Article  MathSciNet  MATH  Google Scholar 

  29. G. Pisier. Martingales with values in uniformly convex spaces. Israel J. Math 20 (1975), 326–350.

    Article  MathSciNet  MATH  Google Scholar 

  30. G. Pisier. Holomorphic semi-groups and the geometry of Banach spaces. Annals of Math. 115 (1982), 375–392.

    Article  MathSciNet  MATH  Google Scholar 

  31. V. Ptak. Biorthogonal systems and reflexivity of Banach spaces. Čekoslovak Math. Journal 9 (1959), 319–326.

    MathSciNet  MATH  Google Scholar 

  32. N. Tomczak-Jaegermann. Computing 2-summing norm with few vectors. Arkiv för Matematik 17 (1979), 273–277.

    Article  MathSciNet  MATH  Google Scholar 

  33. Q. Xu. In this volume.

    Google Scholar 

  34. Q. Xu. In preparation

    Google Scholar 

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Author information

Authors and Affiliations

  1. Texas A and M University, USA

    Gilles Pisier

  2. Université Paris 6, France

    Gilles Pisier & Quanhua Xu

  3. Wuhan University, China

    Quanhua Xu

Authors
  1. Gilles Pisier
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  2. Quanhua Xu
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Editor information

Joram Lindenstrauss Vitali D. Milman

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© 1987 Springer-Verlag

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Pisier, G., Xu, Q. (1987). Random series in the real interpolation spaces between the spaces v p . In: Lindenstrauss, J., Milman, V.D. (eds) Geometrical Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1267. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078146

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  • DOI: https://doi.org/10.1007/BFb0078146

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18103-3

  • Online ISBN: 978-3-540-47771-6

  • eBook Packages: Springer Book Archive

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