Lineability in sequence and function spaces
Functional Analysis
2017-12-20 v1
Abstract
It is proved the existence of large algebraic structures \break --including large vector subspaces or infinitely generated free algebras-- inside, among others, the family of Lebesgue measurable functions that are surjective in a strong sense, the family of nonconstant differentiable real functions vanishing on dense sets, and the family of non-continuous separately continuous real functions. Lineability in special spaces of sequences is also investigated. Some of our findings complete or extend a number of results by several authors.
Cite
@article{arxiv.1507.04477,
title = {Lineability in sequence and function spaces},
author = {G. Araújo and L. Bernal-González and G. A. Muñoz-Fernández and J. A. Prado-Bassas and J. B. Seoane-Sepúlveda},
journal= {arXiv preprint arXiv:1507.04477},
year = {2017}
}
Comments
18 pages, 1 figure