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New proof of the theorem of A. Dvoretzky on intersections of convex bodies

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Functional Analysis and Its Applications Aims and scope

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Literature Cited

  1. A. Dvoretzky, "Some results on convex bodies and Banach spaces," Proc. Internat. Sympos. Linear Spaces, Jerusalem, 123–160 (1961).

  2. V. D. Mil'man, "Spectra of bounded continuous functions prescribed on a unit sphere of B-space," Funkts. Analiz. i Ego Prilozhen.,3, No. 2, 67–79 (1969).

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  3. P. Levy, Concrete Problems of Functional Analysis [Russian translation], Fizmatgiz (1967).

  4. F. John, "Extremum problems with inequalities as subsidiary conditions," Courant Anniversary Volume, New York, 187–204 (1948).

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  5. M. M. Day, Normed Linear Spaces, Academic Press, N. Y. (1962).

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Authors
  1. V. D. Mil'man
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Additional information

Institute of Chemical Physics, Academy of Sciences of the USSR. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 5, No. 4, pp. 28–37, October–December, 1971.

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Mil'man, V.D. New proof of the theorem of A. Dvoretzky on intersections of convex bodies. Funct Anal Its Appl 5, 288–295 (1971). https://doi.org/10.1007/BF01086740

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  • DOI: https://doi.org/10.1007/BF01086740

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