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Methods in the theory of hereditarily indecomposable Banach spaces


About this Title

Spiros A. Argyros and Andreas Tolias

Publication: Memoirs of the American Mathematical Society
Publication Year 2004: Volume 170, Number 806
ISBNs: 978-0-8218-3521-0 (print); 978-1-4704-0407-9 (online)
DOI: http://dx.doi.org/10.1090/memo/0806
MathSciNet review: 2053392
MSC (2000): Primary 46B20; Secondary 46B03, 46B15, 46B26

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Table of Contents


Chapters

  • Introduction
  • 1. General results about H.I. spaces
  • 2. Schreier families and repeated averages
  • 3. The space and the auxiliary space
  • 4. The basic inequality
  • 5. Special convex combinations in
  • 6. Rapidly increasing sequences
  • 7. Defining to obtain a H.I. space
  • 8. The predual of is also H.I.
  • 9. The structure of the space of operators
  • 10. Defining to obtain a nonseparable H.I. space
  • 11. Complemented embedding of , , in the duals of H.I. spaces
  • 12. Compact families in
  • 13. The space for an bounded set
  • 14. Quotients of H.I. spaces