Geometric Aspects of Functional Analysis

1. Front Matter

   Pages I-VII

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2. The invariant subspace problem on a class of nonreflexive Banach spaces, 1

   • C. J. Read

   Pages 1-20

3. Approximational complexity of functions

   • Y. Yomdin

   Pages 21-43

4. Minkowski sums and symmetrizations

   • J. Bourgain, J. Lindenstrauss, V. D. Milman

   Pages 44-66

5. On two theorems of lozanovskii concerning intermediate Banach lattices

   • Shlomo Reisner

   Pages 67-83

6. On Milman's inequality and random subspaces which escape through a mesh in ℝ ⁿ

   • Y. Gordon

   Pages 84-106

7. Isomorphic symmetrization and geometric inequalities

   • V. D. Milman

   Pages 107-131

8. Dimension, non-linear spectra and width

   • M. Gromov

   Pages 132-184

9. Some useful facts about Banach spaces

   • J. Lindenstrauss

   Pages 185-200

10. Homogeneous Banach spaces

    • William B. Johnson

    Pages 201-203

11. An approach to pointwise ergodic theorems

    • J. Bourgain

    Pages 204-223

12. Some remarks on the geometry of convex sets

    • Keith Ball

    Pages 224-231

13. On finite dimensional homogeneous Banach spaces

    • J. Bourgain

    Pages 232-238

14. Vector-valued hausdorff-young inequalities and applications

    • J. Bourgain

    Pages 239-249

15. Projection bodies

    • J. Bourgain, J. Lindenstrauss

    Pages 250-270

16. On a geometric inequality

    • J. Bourgain, M. Meyer, V. Milman, A. Pajor

    Pages 271-282

17. A few observations on the connections between local theory and some other fields

    • V. D. Milman

    Pages 283-289

This is the third published volume of the proceedings of the Israel Seminar on Geometric Aspects of Functional Analysis. The large majority of the papers in this volume are original research papers. There was last year a strong emphasis on classical finite-dimensional convexity theory and its connection with Banach space theory. In recent years, it has become evident that the notions and results of the local theory of Banach spaces are useful in solving classical questions in convexity theory. The present volume contributes to clarifying this point. In addition this volume contains basic contributions to ergodic theory, invariant subspace theory and qualitative differential geometry.

• Banach Space
• Convexity
• banach spaces
• functional analysis

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