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 $R^N$.
Publié le : 1988-01-14
Classification:
Gaussian processes,
convex bodies,
normed spaces,
random linear maps,
60G15,
46B20,
60B11,
60D05
@article{1176991893,
author = {Gordon, Yehoram},
title = {Gaussian Processes and Almost Spherical Sections of Convex Bodies},
journal = {Ann. Probab.},
volume = {16},
number = {4},
year = {1988},
pages = { 180-188},
language = {en},
url = {http://dml.mathdoc.fr/item/1176991893}
}
Gordon, Yehoram. Gaussian Processes and Almost Spherical Sections of Convex Bodies. Ann. Probab., Tome 16 (1988) no. 4, pp. 180-188. http://gdmltest.u-ga.fr/item/1176991893/