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arXiv · 1111.6444

Tightness of Banach spaces and Baire category

Valentin Ferenczi·Gilles Godefroy
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Abstract

We prove several dichotomies on linear embeddings between Banach spaces. Given an arbitrary Banach space X with a basis, we show that the relations of isomorphism and bi-embedding are meager or co-meager on the Polish set of block-subspaces of X. We relate this result with tightness and minimality of Banach spaces. Examples and open questions are provided.

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Valentin Ferenczi, Gilles Godefroy. 2011-11-28. Tightness of Banach spaces and Baire category. https://arxiv.org/abs/1111.6444

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