## The Annals of Probability

### Gaussian Processes and Almost Spherical Sections of Convex Bodies

Yehoram Gordon

#### Abstract

We present a simple proof with sharp estimates of Dvoretzky's theorem on the existence of almost spherical sections having large dimension in arbitrary convex bodies in $R^N$.

#### Article information

Source
Ann. Probab., Volume 16, Number 1 (1988), 180-188.

Dates
First available in Project Euclid: 19 April 2007

https://projecteuclid.org/euclid.aop/1176991893

Digital Object Identifier
doi:10.1214/aop/1176991893

Mathematical Reviews number (MathSciNet)
MR920263

Zentralblatt MATH identifier
0639.60046

JSTOR