RT journal article
T1 Undominated sequences of integrable functions
A1 Bernal, L.
A1 Calderón-Moreno, M.C.
A1 Murillo Arcila, Marina
A1 Prado-Bassas, J.A.
A2 Matemáticas
K1 Integrable function
K1 continuous function
K1 undominated sequence
K1 lineability
K1 residual set
AB 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.
PB Springer
YR 2020
FD 2020
LK http://hdl.handle.net/10498/35371
UL http://hdl.handle.net/10498/35371
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026