[Banach] Abstract of a paper by Geraldo Botelho, Daniel Cariello, Vinicius Favaro and Daniel Pellegrino

This is an announcement for the paper "Maximal spaceability in topological vector spaces" by Geraldo Botelho, Daniel Cariello, Vinicius Favaro and Daniel Pellegrino.

Abstract: In this paper we introduce a new technique to prove the existence of closed subspaces of maximal dimension inside sets of topological vector sequence spaces. The results we prove cover some sequence spaces not studied before in the context of spaceability and settle some questions on classical sequence spaces that remained open.

Archive classification: math.FA

Submitted from: dmpellegrino@gmail.com

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

http://front.math.ucdavis.edu/1109.6863

or

http://arXiv.org/abs/1109.6863