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The dimension of almost spherical sections of convex bodies
Author(s):
T.
Figiel;
J.
Lindenstrauss;
V. D.
Milman
Journal:
Bull. Amer. Math. Soc.
82
(1976),
575-578.
MSC (1970):
Primary 52A20, 52A25, 46C05, 46E30
MathSciNet review:
0420223
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Additional information
References:
- 1.
- A. Dvoretzky, Some results on convex bodies and Banach spaces, Proc. Internat. Sympos. on Linear Spaces (Jerusalem, 1960), Jerusalem Academic Press, Jerusalem; Pergamon, Oxford, 1961, pp. 123-160. MR 25 # 2518. MR 139079
- 2.
- Fritz John, Extremum problems with inequalities as subsidiary conditions, Studies and Essays Presented to R. Courant on his 60th Birthday, Interscience, New York, 1948, pp. 187-204. MR 10, 719. MR 30135
- 3.
- J. Lindenstrauss and L. Tzafriri, On the complemented subspaces problem, Israel J. Math 9 (1971) 236-269. Mr 43 # 2474. MR 276734
- 4.
- B. Maurey and G. Pisier, Series de variables aleatoires vectorielles indépendantes et proprietes geometriques des espaces de Banach, Studia Math. (to appear). MR 443015
- 5.
- V. D. Mil'man, A new proof of the theorem of A. Dovoretzky on intersections of convex bodies, Funkcional. Anal. i Priložen 5 (1971), no. 4, 288-295 = Functional Anal. Appl. 5 (1971), 28-37. MR 45 #2451. MR 293374
- 6.
- E. Schmidt, Die Brunn-Minkowskische Ungleichung und ihr Spiegelbild sowie die isoperimetrische Eigenschaft der Kugel in der euklidischen und nichteuklidischen Geometrie. I, Math. Nachr. 1 (1948), 81-157. MR 10, 471. MR 28600
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Additional Information:
DOI:
10.1090/S0002-9904-1976-14108-0
PII:
S 0002-9904(1976)14108-0
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