A normalized weakly null sequence with no shrinking subsequence in a Banach space not containing ${\ell }_{1}$
Compositio Mathematica, Tome 41 (1980) no. 2, pp. 287-295.
@article{CM_1980__41_2_287_0,
author = {Odell, E.},
title = {A normalized weakly null sequence with no shrinking subsequence in a Banach space not containing $\ell _1$},
journal = {Compositio Mathematica},
pages = {287--295},
publisher = {Sijthoff et Noordhoff International Publishers},
volume = {41},
number = {2},
year = {1980},
zbl = {0437.46010},
mrnumber = {581585},
language = {en},
url = {http://www.numdam.org/item/CM_1980__41_2_287_0/}
}
Odell, E. A normalized weakly null sequence with no shrinking subsequence in a Banach space not containing $\ell _1$. Compositio Mathematica, Tome 41 (1980) no. 2, pp. 287-295. http://www.numdam.org/item/CM_1980__41_2_287_0/

[1] J. Bourgain: On convergent sequences of continuous functions (preprint). | MR 682645 | Zbl 0474.54008

[2] R.C. James, A separable somewhat reflexive Banach space with nonseparable dual Bull. Amer. Math. Soc. 80 (1974) 738-743. | MR 417763 | Zbl 0286.46018

[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. | MR 310598 | Zbl 0213.39301

[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. | MR 390720 | Zbl 0324.46017

[5] B. Maurey and H.P. Rosenthal, Normalized weakly null sequences with no unconditional subsequence, Studia Math., 61 (1977), 77-98. | MR 438091 | Zbl 0357.46025

[6] E. Odell, Applications of Ramsey theorems to Banach space theory, Analysis Seminar at Texas, (to appear). | MR 606226 | Zbl 0468.46009

[7] H.P. Rosenthal, A characterization of Banach spaces continuing l1, Proc. Nat. Acad. Sci. U.S.A., 71 (1974), 2411-2413. | MR 358307 | Zbl 0297.46013