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Probabilistic methods in the geometry of Banach spaces. (English) Zbl 0606.60008
Probability and analysis, Lect. Sess. C.I.M.E., Varenna/Italy 1985, Lect. Notes Math. 1206, 167-241 (1986).
[For the entire collection see Zbl 0593.00015.]
This is an interesting and useful course of lectures on probability and geometry of Banach spaces. It is self-contained and covers the following subjects: 1. Dvoretzky’s theorem by Gaussian methods. 2. Deviation inequalities for random vectors. 3. Type and cotype. 4. Stable type. 5. Duality and K-convexity. 6. Martingale type and cotype. 7. Type for metric spaces. 8. Notes and references for further reading.
Reviewer: V.Tarieladze

MSC:
60B11 Probability theory on linear topological spaces
46B20 Geometry and structure of normed linear spaces
MathOverflow Questions:
Diameter of a weighted Hamming cube