Abstract of a paper by G. Araujo, L. Bernal-Gonzalez, G.A. Munoz-Fernandez, J.A. Prado-Bassas and J.B. Seoane-Sepulveda
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
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