# Geometry of Normed Linear Spaces

Share this page *Edited by *
*R. G. Bartle; N. T. Peck; A. L. Peressini; J. J. Uhl*

The material is aimed at researchers and graduate students in functional
analysis. Many of the articles are expository and are written for the reader
with only a basic background in the theory of normed linear spaces.

# Table of Contents

## Geometry of Normed Linear Spaces

- Contents vii8 free
- Foreword ix10 free
- Acknowledgments xi12 free
- Finite dimensional decompositions in Banach spaces 114 free
- Some theorems on the geometry of Banach spaces arising from the study of invariant means 3245
- The Radon-Nikodym and Krein-Milman properties for convex sets 4356
- The metric linear spaces Lp for 0 < p < 1 5568
- The unconditional basic sequence problem 7083
- A lemma on matrices and its applications 89102
- Applications of geometry of infinite dimensional spaces to vector measures 96109
- Minimax theorems without convexity 102115
- Approximative compactness in Kadec-Klee spaces 109122
- Gul'ko's proof of the Amir-Lindenstrauss theorem 113126
- Continuous selections of complemented subspaces 121134
- Exposed points and the Radon-Nikodym property 126139
- On complemented copies of co in injective tensor products 131144
- A note on girth and isomorphic classification of normed spaces 136149
- Rotundity and extremity in LP(xi) and Lp (µ,X) 143156
- Orthogonality and linear homomorphisms in Banach lattices 163176
- Day song 170183