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p-Stable measures and p-absolutely summing operators

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Probability Theory on Vector Spaces II

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References

  1. de Acosta, A., Asymptotic behavior of stable measures. Ann. Probability 5 (1977), 494–499.

    Article  MathSciNet  MATH  Google Scholar 

  2. de Acosta, A., Banach spaces of stable type and the generation of stable measures. Preprint 1975.

    Google Scholar 

  3. Baumbach, G., Linde, W., Asymptotic behavior of p-absolutely summing norms of identity operators. Math. Nachr. 78 (1977), 193–196.

    Article  MathSciNet  MATH  Google Scholar 

  4. Chobanjan, S.A., Tarieladze, V.I., Gaussian characterization of Banach spaces. J. Multivariate Anal. 7 (1977), 183–203.

    Article  MathSciNet  MATH  Google Scholar 

  5. Krivine, J.L., Sous-espaces de dimension finite des espaces de Banach reticules. Ann. of Math. 104 (1976), 1–29

    Article  MathSciNet  MATH  Google Scholar 

  6. Kwapień, S., On a theorem of L.Schwartz and its application to absolutely summing operators. Studia Math. 38 (1970), 193–201.

    MathSciNet  MATH  Google Scholar 

  7. Kwapień, S., On operators factorizable through L p space. Bull. Soc. Math. France, Mem. 31–32 (1972), 215–225.

    MATH  Google Scholar 

  8. Linde, W., Estimation of integral of stable measures on Banach spaces. (to appear).

    Google Scholar 

  9. Linde, W., Pietsch, W., Mappings of Gaussian measures of cylindrical sets in Banach spaces. Teor. Verojatnost. i Primenen. 19(1974), 472–487.

    MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  11. Lindenstrauss, J., Tzafriri, L., Classical Banach spaces, Springer-Verlag Lecture Notes in Math., vol. 338, Berlin-Heidelberg-New York 1973.

    Google Scholar 

  12. Lindenstrauss, J., Tzafriri, L., Classical Banach apaces II, Function spaces. Springer-Verlag Berlin-Heidelberg-New York 1979.

    Book  MATH  Google Scholar 

  13. Mandrekar, V., Weron, A., α-stable characterization of Banach Spaces (1<α<2). Preprint 1979.

    Google Scholar 

  14. Maurey, B., Espaces de cotype p, 0<p≤2. Seminairé Maurey-Schwartz 1972–1973, Exposé VII.

    Google Scholar 

  15. Maurey, B., Pisier, G., Series de variables aleatoires vectorielles independantes et proprietes geometriques des espaces de Banach. Studia Math., 58 (1976), 45–90.

    MathSciNet  MATH  Google Scholar 

  16. Mouchtari, D., Sur l’existence d’une topologie de type Sazanov sur une espace de Banach. Seminairé Maurey-Schwartz 1975–1976, Exposé XVII.

    Google Scholar 

  17. Pietsch, A., Absolut p-summierende Abbildungen in normierten Raumen. Studia Math. 28 (1966/67), 333–353.

    MathSciNet  MATH  Google Scholar 

  18. Pietsch. A., Operator ideals. VEB Deutscher Verlag der Wissenschaften, Berlin 1978.

    MATH  Google Scholar 

  19. Pisier, G., Some results on Banach spaces without local unconditional structure. Theses, Chapitre 9, Universite Paris VII, 1977.

    Google Scholar 

  20. Rosenthal, H.P., On subspaces of L p . Ann. Math. 97 (1973), 344–373.

    Article  MATH  Google Scholar 

  21. Tien, N.Z., Weron, A., Banach spaces related to α-stable measures. Preprint 1979.

    Google Scholar 

  22. Tortrat, A., Sur les lois e(λ) dans les espaces vectoriels, Applications aux lois stables. Preprint 1975.

    Google Scholar 

  23. Woyczyński, W.A., Geometry and martingales in Banach spaces. Part II, in Advances in Probability and Related Topics, vol. 4 Ed. J. Kuelbs, Marcel Dekker, Inc., New York 1978, 267–517.

    Google Scholar 

  24. Linde, W., Mandrekar, V., Weron, A., Radonifying operators related to p-stable measures on Banach spaces, (to appear).

    Google Scholar 

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© 1980 Springer-Verlag

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Linde, W., Mandrekar, V., Weron, A. (1980). p-Stable measures and p-absolutely summing operators. In: Weron, A. (eds) Probability Theory on Vector Spaces II. Lecture Notes in Mathematics, vol 828. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097402

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  • DOI: https://doi.org/10.1007/BFb0097402

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  • Print ISBN: 978-3-540-10253-3

  • Online ISBN: 978-3-540-38350-5

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