TABLE OF CONTENTS Preface 1 0. Introduction 5 1. Symmetric structures in subspaces of L (0,1) p 2 3^ 2. Subspaces of Banach lattices of type 2 56 3 Invariants of some finite dimensional Banach spaces with an unconditional or symmetric basis 72 k. Perfectly homogeneous bases of finite length 89 5 Uniqueness of the rearrangement structure 103 6. A classification theorem for embeddings of rearrangement invariant function spaces 126 7. Orlicz function spaces 167 8. Isomorphisms between R.I. function spaces on [0,°°) and on [0,1] 200 9- Subspaces of a R. I. function space X isomorphic to X 239 10. Examples 271 iii
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