Spaceability in Banach and quasi-Banach sequence spaces

Citations of this article
Mendeley users who have this article in their library.


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-∪ q∈Γℓq(X), where Γ is any subset of (0,∞], and E-c0(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. © 2010 Elsevier Inc. All rights reserved.




Botelho, G., Diniz, D., Fávaro, V. V., & Pellegrino, D. (2011). Spaceability in Banach and quasi-Banach sequence spaces. Linear Algebra and Its Applications, 434(5), 1255–1260.

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free