Geometrical Aspects of Functional Analysis

1. Front Matter

   Pages I-VII

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2. Monotonicity of the volume of intersection of balls

   • M. Gromov

   Pages 1-4

3. On lattice packing of convex symmetric sets in ℜn

   • J. Bourgain

   Pages 5-12

4. Diameter of a minimal invariant subset of equivariant lipschitz actions on compact subsets of ℝ ^k

   • V. D. Milman

   Pages 13-20

5. The relation between the distance and the weak distance for spaces with a symmetric basis

   • Joram Lindenstrauss, Andrzej Szankowski

   Pages 21-38

6. Complements of subspaces of ℓ ⁿ _p ; p ≥1 which are uniquely determined

   • J. Bourgain, L. Tzafriri

   Pages 39-52

7. Embedding X ^m _p spaces into ℓ ⁿ _r

   • Gideon Schechtman

   Pages 53-74

8. Some remarks on Urysohn's inequality and volume ratio of cotype 2-spaces

   • V. D. Milman

   Pages 75-81

9. On the covering numbers of convex bodies

   • Hermann König, Vitali D. Milman

   Pages 82-95

10. On a theorem of J. Bourgain on finite dimensional decompositions and the radon-nikodym property

    • W. Schachermayer

    Pages 96-112

11. Sudakov type inequalities for convex bodies in IR ⁿ

    • V. D. Milman, N. Tomczak-Jaegermann

    Pages 113-121

12. An application of infinite dimensional holomorphy to the geometry of banach spaces

    • Jonathan Arazy

    Pages 122-150

13. A density condition for analyticity of the restriction algebra

    • J. Bourgain

    Pages 151-156

14. Remarks on the extension of lipschitz maps defined on discrete sets and uniform homeomorphisms

    • J. Bourgain

    Pages 157-167

15. On dimension free maximal inequalities for convex symmetric bodies in ℜn

    • J. Bourgain

    Pages 168-176

16. On lipschitz embedding of finite metric spaces in low dimensional normed spaces

    • William B. Johnson, Joram Lindenstrauss, Gideon Schechtman

    Pages 177-184

17. Random series in the real interpolation spaces between the spaces v _p

    • Gilles Pisier, Quanhua Xu

    Pages 185-209

18. Cotype of the spaces (A ₀, A ₁)_θ1

    • Quanhua Xu

    Pages 210-212

These are the proceedings of the Israel Seminar on the Geometric Aspects of Functional Analysis (GAFA) which was held between October 1985 and June 1986. The main emphasis of the seminar was on the study of the geometry of Banach spaces and in particular the study of convex sets in and infinite-dimensional spaces. The greater part of the volume is made up of original research papers; a few of the papers are expository in nature. Together, they reflect the wide scope of the problems studied at present in the framework of the geometry of Banach spaces.

• banach spaces
• functional analysis
• interpolation
• maximum
• metric space
• minimum

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