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Weakly null sequences with upper ℓp-estimates

Part of the Lecture Notes in Mathematics book series (LNM,volume 1470)

Keywords

  • Banach Space
  • Lexicographical Order
  • Spreading Model
  • Unconditional Basis
  • Null Sequence

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References

  1. I. Amemiya and T. Ito, Weakly null sequences in James spaces on Trees, Kodai Math. J., 4 (1981), 418–25.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. C. Bessaga and A. Pelczyński, Spaces of continuous functions IV, Studia Math., 19 (1960), 53–62.

    MathSciNet  MATH  Google Scholar 

  3. A. Brunel and L. Sucheston, On B-convex Banach spaces, Math. Systems Th., 7 (1974), 294–9.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. A. Brunel and L. Sucheston, On J-convexity and some ergodic super-properties of Banach spaces, Trans. AMS, 204 (1975), 79–90.

    MathSciNet  MATH  Google Scholar 

  5. J. Diestel, “Sequences and Series in Banach spaces,” Springer-Verlag, N.Y., 1984.

    CrossRef  MATH  Google Scholar 

  6. J. Elton, Weakly null normalized sequences in Banach spaces, Dissertation, Yale University, 1978.

    Google Scholar 

  7. V.I. Gurariĭ and N.I. Gurariĭ, Bases in uniformly convex and uniformly flattened Banach spaces, Math. USSR Izv., 5 (1971), 220–5, English translation.

    CrossRef  MATH  Google Scholar 

  8. R.C. James, Super-reflexive spaces with bases, Pacific J. J. Math., 41 (1972), 409–19.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. W.B. Johnson, and E. Odell, Subspaces of L p which embed into l p , Compos. Math., 28 (1974), 37–49.

    MathSciNet  MATH  Google Scholar 

  10. W.B. Johnson and H.P. Rosenthal, On ω*-basic sequences and their applications to the study of Banach spaces, Studia Math., 43 (1972), 77–92.

    MathSciNet  Google Scholar 

  11. H. Knaust and E. Odell, On c o -sequences in Banach spaces, Israel J. Math. 67 (1989), 153–169.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. J. Lindenstrauss and L. Tzafriri, “Classical Banach Spaces,” 2 vols., Springer-Verlag, Berlin, 1977, 1979.

    CrossRef  MATH  Google Scholar 

  13. R.H. Lohman, A note on Banach spaces containing l 1, Canad. Math. Bull., 19 (1976), 365–7.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. E. Odell, Applications of Ramsey theorems to Banach space theory, in: H.E. Lacey (ed.), “Notes in Banach Spaces,” University of Texas Press, Austin and London, 1981, 379–404.

    Google Scholar 

  15. H.P. Rosenthal, A characterization of Banach spaces containing l 1, Proc. Nat. Acad. Sci. (USA), 71 (1974), 2411–3.

    CrossRef  MATH  Google Scholar 

  16. C. Schumacher, Ph.D. Dissertation, The University of Texas at Austin, 1989.

    Google Scholar 

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© 1991 Springer-Verlag

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Knaust, H., Odell, E. (1991). Weakly null sequences with upper ℓp-estimates. In: Odwell, E.E., Rosenthal, H.P. (eds) Functional Analysis. Lecture Notes in Mathematics, vol 1470. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090216

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  • DOI: https://doi.org/10.1007/BFb0090216

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54206-3

  • Online ISBN: 978-3-540-47493-7

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