Geometric Aspects of Banach Spaces: Essays in Honour of Antonio Plans (London Mathematical Society Lecture Note Series)

This volume, dedicated to Professor A. Plans, concentrates on some important and contemporary themes in Banach space theory. The articles are by leading researchers and cover topics such as sequences, operators, eigenvalues, s-numbers and projection constants, so will be of interest to functional analysts and approximation theorists. CONTENTS.......Page 6 ANTONIO PLANS: A BIOGRAPHICAL OUTLINE......Page 10 INFINITE DIMENSIONAL GEOMETRIC MODULI AND TYPE-COTYPE THEORY......Page 20 HUBERT SPACE REVISITED.......Page 48 PARTICULAR M-BASIC SEQUENCES IN BANACH SPACES.......Page 63 BEHAVIOUR OF SEMhFREDHOLM OPERATORS ON A HUBERT CUBE......Page 82 OPERATORS FROM H INTO A BANACH SPACE AND VECTOR VALUED MEASURES......Page 96 OPERATORS ON VECTOR SEQUENCE SPACES.......Page 103 ON THE DUALITY PROBLEM FOR ENTROPY NUMBERS.......Page 116 MIXED SUMMING NORMS AND FINITE-DIMENSIONAL LORENTZ SPACES......Page 121 ON THE EXTENSION OF CONTINUOUS 2-POLYNOMIALS IN NORMED LINEAR SPACES.......Page 134 ON SOME OPERATOR IDEALS DEFINED BY APPROXIMATION NUMBERS......Page 142 SOME REMARKS ON THE COMPACT NON-NUCLEAR OPERATOR PROBLEM......Page 149 ON SOME PROPERTIES OF A^ , L*/H* AS BANACH ALGEBRAS......Page 154 ON FACTORIZATION OF OPERATORS......Page 168 SOME PROPERTIES OF BANACH SPACES Z**/Z.......Page 178