Topics in the Local Theory of Normed Spaces

by prof.Gideon Schechtman

1. (4.3.03, PostScriptor PDF) - Basic definitions, Brunn-Minkowskyinequality, Prekopa-Leindler inequality

2. (11.3.03, PostScriptor PDF) - Concentration of measure and isoperimetric inequalities

3. (16.3.03, PostScriptor PDF) - Proof of Dvoretzky's theorem (part 1)

4. (25.3.03, PostScriptor PDF) - Proof of Dvoretzky's theorem (part 2)

5. (03.4.03, PostScriptor PDF) - Almost euclidean subspaces of finite dimensional sequence spaces

9. (20.5.03, PostScriptor PDF) - Gaussian process and Slepian's lemma