This is an announcement for the paper "Spaceability in Banach and quasi-Banach sequence spaces" by G. Botelho, D. Diniz, V.V. Favaro and D. Pellegrino.
Abstract: Let $X$ be a Banach space. We prove that, for a large class of Banach or quasi-Banach spaces $E$ of $X$-valued sequences, the sets $E-\bigcup _{q\in\Gamma}\ell_{q}(X)$, where $\Gamma$ is any subset of $(0,\infty]$, and $E-c_{0}(X)$ contain closed infinite-dimensional subspaces of $E$ (if non-empty, of course). This result is applied in several particular cases and it is also shown that the same technique can be used to improve a result on the existence of spaces formed by norm-attaining linear operators.
Archive classification: math.FA
Mathematics Subject Classification: 46A45, 46A16, 46B45
Remarks: 9 pages
Submitted from: dmpellegrino@gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1005.0596
or
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Dale Alspach