A normalized weakly null sequence with no shrinking subsequence in a Banach space not containing ℓ 1

E. Odell

Compositio Mathematica (1980)

  • Volume: 41, Issue: 2, page 287-295
  • ISSN: 0010-437X

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Odell, E.. "A normalized weakly null sequence with no shrinking subsequence in a Banach space not containing $\ell _1$." Compositio Mathematica 41.2 (1980): 287-295. <http://eudml.org/doc/89459>.

@article{Odell1980,
author = {Odell, E.},
journal = {Compositio Mathematica},
keywords = {normalized weakly null sequence with no shrinking subsequence; unconditional subsequence; block basis of constant modulus coefficient; bounded Baire class 1 function},
language = {eng},
number = {2},
pages = {287-295},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {A normalized weakly null sequence with no shrinking subsequence in a Banach space not containing $\ell _1$},
url = {http://eudml.org/doc/89459},
volume = {41},
year = {1980},
}

TY - JOUR
AU - Odell, E.
TI - A normalized weakly null sequence with no shrinking subsequence in a Banach space not containing $\ell _1$
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 41
IS - 2
SP - 287
EP - 295
LA - eng
KW - normalized weakly null sequence with no shrinking subsequence; unconditional subsequence; block basis of constant modulus coefficient; bounded Baire class 1 function
UR - http://eudml.org/doc/89459
ER -

References

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  1. [1] J. Bourgain: On convergent sequences of continuous functions (preprint). Zbl0474.54008MR682645
  2. [2] R.C. James, A separable somewhat reflexive Banach space with nonseparable dual Bull. Amer. Math. Soc.80 (1974) 738-743. Zbl0286.46018MR417763
  3. [3] W.B. Johnson and H.P. Rosenthal, On w*-basic sequences and their applications to the study of Banach spaces, Studia Math., 43 (1972), 77-92. Zbl0213.39301MR310598
  4. [4] J. Lindenstrauss and C. Stegall, Examples of separable spaces which do not contain l1 and whose duals are non-separable, Studia Math., 54 (1975), 81-105. Zbl0324.46017MR390720
  5. [5] B. Maurey and H.P. Rosenthal, Normalized weakly null sequences with no unconditional subsequence, Studia Math., 61 (1977), 77-98. Zbl0357.46025MR438091
  6. [6] E. Odell, Applications of Ramsey theorems to Banach space theory, Analysis Seminar at Texas, (to appear). Zbl0468.46009MR606226
  7. [7] H.P. Rosenthal, A characterization of Banach spaces continuing l1, Proc. Nat. Acad. Sci. U.S.A., 71 (1974), 2411-2413. Zbl0297.46013MR358307

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