ON THE METRIC ENTROPY OF THE BANACH-MAZUR COMPACTUM uri icon

abstract

  • 2014 University College London. We study the metric entropy of the metric space Bn of all n-dimensional Banach spaces (the so-called Banach-Mazur compactum) equipped with the Banach-Mazur (multiplicative) distance d. We are interested either in estimates independent of the dimension or in asymptotic estimates when the dimension tends to . For instance, we prove that, if N(Bn,d,1+) is the smallest number of balls of radius 1+ that cover Bn, then for any >0 we have 0

published proceedings

  • MATHEMATIKA

altmetric score

  • 0.5

author list (cited authors)

  • Pisier, G.

citation count

  • 5

complete list of authors

  • Pisier, Gilles

publication date

  • January 2015

publisher