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

ISBN-13: 9783540542063 / Angielski / Miękka / 1991 / 208 str.

Jr. Edward E. Odell; Haskell P. Rosenthal

Opis

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. Rabiger 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.

Spis treści

On certain classes of Baire-1 functions with applications to Banach space theory.- Normed spaces with a weak-Gordon-Lewis property.- On the geometry of the Banach-Mazur compactum.- Some remarks about the space of measures with uniformly bounded partial sums and Banach-Mazur distances between some spaces of polynomials.- Operators which factor through Banach lattices not containing c 0.- Remarks on Talagrand’s deviation inequality for Rademacher functions.- A global approach to certain operator extension problems.- Weakly null sequences with upper ?p-estimates.- On tensor products of operators from L p to L q .- Limited sets in injective tensor products.- Lower and upper 2-estimates for order bounded sequences and Dunford-Pettis operators between certain classes of Banach lattices.- Embedding ?1 into tensor products of Banach spaces.- A remark on the paper “Martingale inequalities in rearrangement invariant function spaces” by W.B. Johnson and G. Schechtman.- Twisted types and uniform stability.