The volume of convex bodies and Banach space geometry
Gilles Pisier.
Cambridge : Cambridge University Press, 1989.
xv, 250 págs. ; 24 cm.
Serie: Cambridge tracts in mathematics ; 94
ISBN: 0521364655, 052166635X (pbk.)
Bibliografía: p. 237-248.
Reseña: MathSciNet, 91d:52005
Contenido
- 1. Notation and preliminary background
- 2. Gaussian variables. $K$-convexity
- 3. Ellipsoids
- 4. Dvoretzky's theorem
- 5. Entropy, approximation numbers, and Gaussian processes
- 6. Volume ratio
- 7. Milman's ellipsoids
- 8. Another proof of the QS theorem
- 9. Volume numbers
- 10. Weak cotype 2
- 11. Weak type 2
- 12. Weak Hilbert spaces
- 13. Some examples: the Tsirelson spaces
- 14. Reflexivity of weak Hilbert spaces
- 15. Fredholm determinants.