**Contemporary Mathematics**

Volume: 52;
1986;
171 pp;
Softcover

MSC: Primary 46;

Print ISBN: 978-0-8218-5057-2

Product Code: CONM/52

List Price: $31.00

AMS Member Price: $24.80

MAA Member Price: $27.90

**Electronic ISBN: 978-0-8218-7637-4
Product Code: CONM/52.E**

List Price: $31.00

AMS Member Price: $24.80

MAA Member Price: $27.90

# Geometry of Normed Linear Spaces

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

These 17 papers result from a 1983 conference held to honor Professor
Mahlon Marsh Day upon his retirement from the University of Illinois. Each of
the main speakers was invited to take some aspect of Day's pioneering work as
a starting point: he was the first American mathematician to study normed
spaces from a geometric standpoint and, for a number of years, pioneered
American research on the structure of Banach spaces.

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