Minimal subspaces and isomorphically homogeneous sequences in a Banach space |
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| Authors: | Valentin Ferenczi |
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| Institution: | 1. Equipe d'Analyse Fonctionnelle, Bo?te 186, Université Pierre et Marie Curie-Paris 6, 4, Place Jussieu, 75252, Paris Cedex 05, France
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| Abstract: | If a Banach space is saturated with subspaces with a Schauder basis, which embed into the linear span of any subsequence of their basis, then it contains a minimal subspace. It follows that any Banach space is either ergodic or contains a minimal subspace. |
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