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Rosenthal's inequality and the characterization of Lp spaces

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Literature Cited

  1. H. P. Rosenthal, “On the subspaces of Lp (p>2) spanned by sequences of independent random variables,” Israel J. Math.,8, No. 3, 273–303 (1970).

    Google Scholar 

  2. S. G. Krein, Yu. I. Petunin (Ju. I. Petunin), and E. M. Semenov, Interpolation of Linear Operators, Am. Math. Soc., Providence (1982).

    Google Scholar 

  3. M. Sh. Braverman, “Random variables with infinitely divisible distributions, and symmetric spaces,” Sib. Mat. Zh.,26, No. 2, 36–50 (1985).

    Google Scholar 

  4. V. M. Kruglov, Supplementary Chapters on Probability Theory [in Russian], Vysshola Shkola, Moscow (1984).

    Google Scholar 

  5. V. M. Kruglov, “A remark to the theory of infinitely divisible laws,” Teor. Veroyatn. Primen.,15, No. 2, 330–336 (1970).

    Google Scholar 

  6. M. Loeve, Probability Theory, Van Nostrand, Princeton (1955).

    Google Scholar 

  7. V. D. Mil'man, “The geometric theory of Banach spaces, Part 1”, Usp. Mat. Nauk,25, No. 3, 111–174 (1970).

    Google Scholar 

  8. M. Ippin, “On perfectly homogeneous bases in Banach spaces,” Israel J. Math.,4, No. 4, 265–272 (1966).

    Google Scholar 

  9. V. A. Rodin and E. M. Semyonov, “Rademacher series in symmetric spaces,” Anal. Math.,1, No. 3, 207–222 (1975).

    Google Scholar 

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Authors
  1. M. Sh. Braverman
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Additional information

Khabarovsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 32, No. 3, pp. 31–38, May–June, 1991.

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Braverman, M.S. Rosenthal's inequality and the characterization of Lp spaces. Sib Math J 32, 376–382 (1991). https://doi.org/10.1007/BF00970472

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  • DOI: https://doi.org/10.1007/BF00970472

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