@misc{10498/35371,
year = {2020},
url = {http://hdl.handle.net/10498/35371},
abstract = {In this paper, we investigate to what extent the conclusion of the Lebesgue dominated convergence theorem holds if the assumption of dominance is dropped. Specifically, we study both topological and algebraic genericity of the family of all null sequences of functions that, being continuous on a locally compact space and integrable with respect to a given Borel measure in it, are not controlled by an integrable function.},
publisher = {Springer},
keywords = {Integrable function},
keywords = {continuous function},
keywords = {undominated sequence},
keywords = {lineability},
keywords = {residual set},
title = {Undominated sequences of integrable functions},
doi = {10.1007/S00009-020-01631-2},
author = {Bernal, L. and Calderón-Moreno, M.C. and Murillo Arcila, Marina and Prado-Bassas, J.A.},
}