Functional Analysis

1. Front Matter

   Pages N2-V

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2. On certain classes of Baire-1 functions with applications to Banach space theory

   • R. Haydon, E. Odell, H. Rosenthal

   Pages 1-35

3. Normed spaces with a weak-Gordon-Lewis property

   • Keith Ball

   Pages 36-47

4. On the geometry of the Banach-Mazur compactum

   • S. J. Szarek

   Pages 48-59

5. Some remarks about the space of measures with uniformly bounded partial sums and Banach-Mazur distances between some spaces of polynomials

   • P. Wojtaszczyk

   Pages 60-67

6. Operators which factor through Banach lattices not containing c ₀

   • N. Ghoussoub, W. B. Johnson

   Pages 68-71

7. Remarks on Talagrand’s deviation inequality for Rademacher functions

   • William B. Johnson, Gideon Schechtman

   Pages 72-77

8. A global approach to certain operator extension problems

   • M. Zippin

   Pages 78-84

9. Weakly null sequences with upper ℓp-estimates

   • Helmut Knaust, Edward Odell

   Pages 85-107

10. On tensor products of operators from L ^p to L ^q

    • H. P. Rosenthal, S. J. Szarek

    Pages 108-132

11. Limited sets in injective tensor products

    • Thomas Schlumprecht

    Pages 133-158

12. Lower and upper 2-estimates for order bounded sequences and Dunford-Pettis operators between certain classes of Banach lattices

    • Frank Räbiger

    Pages 159-170

13. Embedding ℓ1 into tensor products of Banach spaces

    • Denny H. Leung

    Pages 171-176

14. A remark on the paper “Martingale inequalities in rearrangement invariant function spaces” by W.B. Johnson and G. Schechtman

    • Pawel Hitczenko

    Pages 177-182

15. Twisted types and uniform stability

    • Fouad Chaatit

    Pages 183-199

16. Back Matter

    Pages 201-205

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The papers in this volume yield a variety of powerful tools for penetrating the structure of Banach spaces, including the following topics: the structure of Baire-class one functions with Banach space applications, operator extension problems, the structure of Banach lattices tensor products of operators and Banach spaces, Banach spaces of certain classes of Fourier series, uniformly stable Banach spaces, the hyperplane conjecture for convex bodies, and applications of probability theory to local Banach space structure. With contributions by: R. Haydon, E. Odell, H. Rosenthal: On certain classes of Baire-1 functions with applications to Banach space theory.- K. Ball: Normed spaces with a weak-Gordon-Lewis property.- S.J. Szarek: On the geometry of the Banach-Mazur compactum.- P. Wojtaszczyk: Some remarks about the space of measures with uniformly bounded partial sums and Banach-Mazur distances between some spaces of polynomials.- N. Ghoussoub, W.B. Johnson: Operators which factor through Banach lattices not containing co.- W.B. Johnson, G. Schechtman: Remarks on Talagrand's deviation inequality for Rademacher functions.- M. Zippin: A Global Approach to Certain Operator Extension Problems.- H. Knaust, E. Odell: Weakly null sequences with upper lp-estimates.- H. Rosenthal, S.J. Szarek: On tensor products of operators from Lp to Lq.- T. Schlumprecht: Limited Sets in Injective Tensor Products.- F. Räbiger: Lower and upper 2-estimates for order bounded sequences and Dunford-Pettis operators between certain classes of Banach lattices.- D.H. Leung: Embedding l1 into Tensor Products of Banach Spaces.- P. Hitczenko: A remark on the paper "Martingale inequalities in rearrangement invariant function spaces" by W.B. Johnson, G. Schechtman.- F. Chaatit: Twisted types and uniform stability.

• Banach Space
• Banach spaces
• Banach-Räume
• Fourier series
• Fourier-Reihe
• calculus
• convex bodies
• differential equation
• functional analysis
• probability theory in Banach spaces
• tensor products of operators

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