A normalized weakly null sequence with no shrinking subsequence in a Banach space not containing ℓ 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},
     mrnumber = {581585},
     zbl = {0437.46010},
     language = {en},
     url = {http://www.numdam.org/item/CM_1980__41_2_287_0/}
}
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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, Tome 41 (1980) no. 2, pp. 287-295. http://www.numdam.org/item/CM_1980__41_2_287_0/

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