Geodesic
On Nonreflexive Banach Spaces Which Contain No c 0 or l p
Canadian journal of mathematics, Tome 32 (1980) no. 6, pp. 1382-1389

Voir la notice de l'article provenant de la source Cambridge University Press

The first infinite-dimensional reflexive Banach space X such that no subspace of X is isomorphic to c 0 or lp, 1 ≦ p < ∞, was constructed by Tsirelson [8]. In fact, he showed that there exists a Banach space with an unconditional basis which contains no subsymmetric basic sequence and which contains no superreflexive subspace. Subsequently, Figiel and Johnson [4] gave an analytical description of the conjugate space T of Tsirelson's example and showed that there exists a reflexive Banach space with a symmetric basis which contains no superreflexive subspace; a uniformly convex space with a symmetric basis which contains no isomorphic copy of lp , 1 < p < ∞; and a uniformly convex space which contains no subsymmetric basic sequence and hence contains no isomorphic copy of lp , 1 < p < ∞. Recently, Altshuler [2] showed that there is a reflexive Banach space with a symmetric basis which has a unique symmetric basic sequence up to equivalence and which contains no isomorphic copy of lp , 1 < p < ∞. 
Casazza, P. G.; Lin, Bor-Luh; Lohman, R. H. On Nonreflexive Banach Spaces Which Contain No c 0 or l p. Canadian journal of mathematics, Tome 32 (1980) no. 6, pp. 1382-1389. doi: 10.4153/CJM-1980-108-6
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