Article
Lineability in sequence and function spaces
Author/s | Araújo Soares, Gustavo
Bernal González, Luis ![]() ![]() ![]() ![]() ![]() ![]() ![]() Muñoz Fernández, Gustavo Adolfo Prado Bassas, José Antonio ![]() ![]() ![]() ![]() ![]() ![]() ![]() Seoane Sepúlveda, Juan Benigno |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2017 |
Deposit Date | 2017-05-15 |
Published in |
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Abstract | It is proved the existence of large algebraic structures –including large vector subspaces or infinitely generated free algebras– inside, among others, the family of Lebesgue measurable functions that are surjective in a ... It is proved the existence of large algebraic structures –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. |
Project ID. | PDSE/CAPES 8015/14-7
![]() FQM-127 ![]() P08-FQM-03543 ![]() MTM2012-34847-C02-01 ![]() MTM2012-34341 ![]() |
Citation | Araújo Soares, G., Bernal González, L., Muñoz Fernández, G.A., Prado Bassas, J.A. y Seoane Sepúlveda, J.B. (2017). Lineability in sequence and function spaces. Studia Mathematica, 237 (2), 119-136. |
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