On [l infinite] subspaces of Banach spaces

Autores: Patrick N. Dowling
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 51, Fasc. 3, 2000, págs. 255-260
Idioma: inglés
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Resumen
- We obtain a refinement of a result of Partington on Banach spaces containing isomorphic copies of $\ell^\infty$. Motivated by this result, we prove that Banach spaces containing asymptotically isometric copies of $\ell^\infty$ must contain isometric copies of $\ell^\infty$.