The volume of convex bodies and Banach space geometry

摘要: This book aims to give a self-contained presentation of number results, which relate the volume convex bodies in n-dimensional Euclidean space and geometry corresponding finite-dimensional normed spaces. The methods employ classical ideas from theory sets, probability theory, approximation local Banach is two parts. first presents proofs quotient subspace theorem, inverse Santalo inequality Brunn-Minkowski inequality. second part gives detailed exposition recently introduced classes spaces weak cotype 2 or type 2, intersection (weak Hilbert space). based on courses given Paris Texas.