Functional Analysis: Proceedings of the Seminar at the University of Texas at Austin 1987–89

R. Haydon, E. Odell, H. Rosenthal (auth.), Edward E. Odwell Jr., Haskell P. Rosenthal (eds.)9783540542063, 354054206X

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.

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Table of contents :
On certain classes of Baire-1 functions with applications to Banach space theory….Pages 1-35
Normed spaces with a weak-Gordon-Lewis property….Pages 36-47
On the geometry of the Banach-Mazur compactum….Pages 48-59
Some remarks about the space of measures with uniformly bounded partial sums and Banach-Mazur distances between some spaces of polynomials….Pages 60-67
Operators which factor through Banach lattices not containing c 0 ….Pages 68-71
Remarks on Talagrand’s deviation inequality for Rademacher functions….Pages 72-77
A global approach to certain operator extension problems….Pages 78-84
Weakly null sequences with upper ℓ p -estimates….Pages 85-107
On tensor products of operators from L p to L q ….Pages 108-132
Limited sets in injective tensor products….Pages 133-158
Lower and upper 2-estimates for order bounded sequences and Dunford-Pettis operators between certain classes of Banach lattices….Pages 159-170
Embedding ℓ 1 into tensor products of Banach spaces….Pages 171-176
A remark on the paper “Martingale inequalities in rearrangement invariant function spaces” by W.B. Johnson and G. Schechtman….Pages 177-182
Twisted types and uniform stability….Pages 183-199