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Banach spaces with a unique unconditional basis, up to permutation


About this Title

J. Bourgain, P. G. Casazza, J. Lindenstrauss and L. Tzafriri

Publication: Memoirs of the American Mathematical Society
Publication Year 1985: Volume 54, Number 322
ISBNs: 978-0-8218-2323-1 (print); 978-1-4704-0735-3 (online)
DOI: http://dx.doi.org/10.1090/memo/0322
MathSciNet review: 782647
MSC (1991): Primary 46B15

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Table of Contents


Chapters

  • 0. Introduction
  • 1. Unconditional bases of finite direct sums of Banach spaces
  • 2. Infinite direct sums of Hilbert spaces
  • 3. Infinite direct sums of -spaces in the sense of , Part I
  • 4. Infinite direct sums of -spaces in the sense of , Part II
  • 5. Infinite direct sums in the sense of
  • 6. Prime spaces
  • 7. Tsirelson's space
  • 8. Complemented subspaces of and
  • 9. “Large” subspaces of
  • 10. Complemented subspaces of and
  • 11. Open problems
  • 12. References