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New proof of the theorem of A. Dvoretzky on intersections of convex bodies. (English. Russian original) Zbl 0239.46018

Funct. Anal. Appl. 5, 288-295 (1972); translation from Funkts. Anal. Prilozh. 5, No. 4, 28-37 (1971).

MSC:

46B99 Normed linear spaces and Banach spaces; Banach lattices
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References:

[1] A. Dvoretzky, ”Some results on convex bodies and Banach spaces,” Proc. Internat. Sympos. Linear Spaces, Jerusalem, 123-160 (1961). · Zbl 0119.31803
[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).
[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).
[5] M. M. Day, Normed Linear Spaces, Academic Press, N. Y. (1962). · Zbl 0100.10802
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