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arXiv · 1508.01961

On the complexity of some inevitable classes of separable Banach spaces

Bruno de Mendonça Braga
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Abstract

In this paper, we study the descriptive complexity of some inevitable classes of Banach spaces. Precisely, as shown in [Go], every Banach space either contains a hereditarily indecomposable subspace or an unconditional basis, and, as shown in [FR], every Banach space either contains a minimal subspace or a continuously tight subspace. In these notes, we study the complexity of those inevitable classes as well as the complexity of containing a subspace in any of those classes.

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Bruno de Mendonça Braga. 2015-08-08. On the complexity of some inevitable classes of separable Banach spaces. https://doi.org/10.1016/j.jmaa.2015.05.045

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