Présentation du livre

Devoted to the study of Banach spaces, this book emphasizes connections with classical analysis, harmonic analysis, and probability theory. It is suitable for beginning graduate students. The study is taken from the beginning and then worked out thoroughly, presenting several fundamental results which were obtained during the period 1950-2000: Grothendieck's theorem, Dvoretzky's theorem, Rosenthal's dichotomy theorem, and Gowers's dichotomy theorem, etc., with applications.