How small can the intersection of a few rotations of a symmetric convex body be?

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 325, Issue 4, 1997, Pages 389-394

  Giannopoulos, Apostolos A ^a   Milman, Vitali D ^b  

^a OKLAHOMA STATE UNIVERSITY   (United States)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031206386     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(97)85622-4     Document Type: Article

References (11)

1. Bourgain J., Lindenstrauss J. and Milman V. D., 1988. Minkowski sums and symmetrizations, Lecture Notes in Mathematics, 1317, pp. 44-66.
2. n, Lecture Notes in Mathematics, 1317, pp. 84-106.
3. Giannopoulos A. A. and Milman V. D., 1997. On the diameter of proportional sections of a symmetric convex body, International Mathematics Research Notices, No. 1, pp. 5-19.
4. Giannopoulos A. A. and Milman V. D. Mean width and diameter of proportional sections of a symmetric convex body, Preprint.
5. Litvak A. E., Milman V. D. and Schechtman G., 1997. Averages of norms and behavior of families of projective caps on the sphere, C. R. Acad. Sci., Paris, 325, to appear.
6. Milman V. D., 1971. A new proof of the theorem of A. Dvoretzky on sections of convex bodies, Func. Anal. Appl., 5, No. 4, pp. 28-37.
7. Milman V. D., 1986. Inégalité de Brunn-Minkowski inverse et applications à la théorie locale des espaces normés, C. R. Acad. Sci. Paris, 302, Série 1, pp. 25-28.
8. Milman V. D., 1991. Some applications of duality relations, Lecture Notes in Mathematics, 1469, pp. 13-40.
9. Milman V. D. and Schechtman G., 1996. Asymptotic Theory of Finite Dimensional Normed Spaces, Lecture Notes in Mathematics, 1200.
10. Milman V. D. and Schechtman G. Global vs. local asymptotic theories of finite dimensional normed spaces, Duke Math. J. (to appear).
11. Pisier G., 1989. The Volume of Convex Bodies and Banach Space Geometry, Cambridge Tracts in Math., 94