A Banach space not containing 𝑐₀,𝑙₁ or a reflexive subspace

Gowers, W. T.

doi:10.1090/S0002-9947-1994-1250820-0

A Banach space not containing $c_ 0,\ l_ 1$ or a reflexive subspace
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by W. T. Gowers

Trans. Amer. Math. Soc. 344 (1994), 407-420

DOI: https://doi.org/10.1090/S0002-9947-1994-1250820-0

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Abstract:

An infinite-dimensional Banach space is constructed which does not contain ${c_0}$, ${l_1}$ or an infinite-dimensional reflexive subspace. In fact, it does not even contain ${l_1}$ or an infinite-dimensional subspace with a separable dual.

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