Skip to Main Content


AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution


Symmetric structures in Banach spaces

About this Title

W. B. Johnson, B. Maurey, G. Schechtman and L. Tzafriri

Publication: Memoirs of the American Mathematical Society
Publication Year: 1979; Volume 19, Number 217
ISBNs: 978-0-8218-2217-3 (print); 978-1-4704-0493-2 (online)
DOI: https://doi.org/10.1090/memo/0217
MathSciNet review: 527010
MSC: Primary 46B25; Secondary 46E30, 47B38

PDF View full volume as PDF

View other years and numbers:

Table of Contents

Chapters

  • 0. Introduction
  • 1. Symmetric structures in subspaces of $L_p(0,1)$; $p > 2$
  • 2. Subspaces of Banach lattices of type 2
  • 3. Invariants of some finite dimensional Banach spaces with an unconditional or symmetric basis
  • 4. Perfectly homogeneous bases of finite length
  • 5. Uniqueness of the rearrangement structure
  • 6. A classification theorem for embeddings of rearrangement invariant function spaces
  • 7. Orlicz function spaces
  • 8. Isomorphisms between R. I. function spaces on $[0,\infty )$ and on $[0,1]$
  • 9. Subspaces of a R.I. function space $X$ isomorphic to $X$
  • 10. Examples