This is an announcement for the paper "Lineability in sequence and function spaces" by G. Araujo, L. Bernal-Gonzalez, G.A. Munoz-Fernandez, J.A. Prado-Bassas and J.B. Seoane-Sepulveda.

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.

Archive classification: math.FA

Mathematics Subject Classification: 28A20

Remarks: 18 pages, 1 figure

Submitted from: bassas@us.es

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

http://front.math.ucdavis.edu/1507.04477

or

http://arXiv.org/abs/1507.04477