# Banach Spaces

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*Bor-Luh Lin; William B. Johnson*

#### Readership

Linear and nonlinear functional analysts, in particular, specialists in Banach space theories.

# Table of Contents

## Banach Spaces

- Contents v6 free
- Preface vii8 free
- Program of Workshop ix10 free
- Workshop Participants xv16 free
- An application of Singer's theorem to homogeneous polynomials 120 free
- A l1-predual which is not isometric to a quotient of C(α) 928
- Boundaries for algebras of analytic functions on infinite dimensional Banach spaces 1534
- Multipliers on weighted Besov spaces of analytic functions 2342
- Some questions arising from the homogeneous Banach space problem 3554
- Some probabilistic inequalities with applications to functional analysis 5372
- Bochner vs. Pettis norm: examples and results 6988
- Extremal structure of the unit ball of C(K, X) 81100
- Random products of nonexpansive mappings in spaces with the Opial property 87106
- Polynomial Schur and polynomial Dunford-Pettis properties 95114
- On embeddings of function spaces into LP + Lq 107126
- On Auerbach bases 115134
- Renorming Banach spaces with fundamental biorthogonal system 119138
- Quantitative estimates on random subspaces which miss arbitrary measurable sets on the sphere 127146
- Three-space problem for the asymptotic-norming property of Banach spaces 135154
- Isometries of Block spaces 141160
- Property (ß ) and Edelstein's algorithms for constructing nearest and farthest points 149168
- p-Hilbertian subsequences in l1 (x) 159178
- Some geometrical properties of Banach spaces related to nearly uniform convexity 165184
- Asymptotic lp spaces and bounded distortions 173192
- On Schreier unconditional sequenes 197216