Tightness of Banach spaces and Baire category
Functional Analysis
2011-11-29 v1
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.
Cite
@article{arxiv.1111.6444,
title = {Tightness of Banach spaces and Baire category},
author = {Valentin Ferenczi and Gilles Godefroy},
journal= {arXiv preprint arXiv:1111.6444},
year = {2011}
}
Comments
13 pages