[Banach] Abstract of a paper by Valentin Ferenczi and Gilles Godefroy

This is an announcement for the paper "Tightness of Banach spaces and Baire category" by Valentin Ferenczi and Gilles Godefroy.

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.

Archive classification: math.FA

Mathematics Subject Classification: 46B20, 54E52

Remarks: 13 pages

Submitted from: ferenczi@ccr.jussieu.fr

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1111.6444

or

http://arXiv.org/abs/1111.6444