Article
Undominated Sequences of Integrable Functions
Author/s | Bernal González, Luis
Calderón Moreno, María del Carmen Murillo Arcila, Marina Prado Bassas, José Antonio |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2020-10-20 |
Deposit Date | 2024-01-22 |
Published in |
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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. Speci cally, we study both topological
and algebraic genericity ... In this paper, we investigate to what extent the conclusion of the Lebesgue dominated convergence theorem holds if the assumption of dominance is dropped. Speci cally, 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. |
Citation | Bernal González, L., Calderón Moreno, M.d.C., Murillo Arcila, M. y Prado Bassas, J.A. (2020). Undominated Sequences of Integrable Functions. Mediterranean Journal of Mathematics, 17 (179), 178-1. https://doi.org/10.1007/s00009-020-01631-2. |
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