Calderón Moreno, María del CarmenGerlach Mena, Pablo JoséPrado Bassas, José Antonio2020-02-062020-02-062020-01Calderón Moreno, M.d.C., Gerlach Mena, P.J. y Prado Bassas, J.A. (2020). Lineability and modes of convergence. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 114 (18)1578-73031579-1505https://hdl.handle.net/11441/92784In this paper we look for the existence of large linear and algebraic structures of sequences of measurable functions with different modes of convergence. Concretely, the algebraic size of the family of sequences that are convergent in measure but not a.e. pointwise, uniformly but not pointwise convergent, and uniformly convergent but not in L1-norm, are analyzed. These findings extend and complement a number of earlier results by several authors.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/LineabilityAlgebrabilityUniform convergenceConvergence in measurePointwise convergenceConvergence in L 1 -norminfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1007/s13398-019-00743-z