Lineability and integrability in the sense of Riemann, Lebesgue, Denjoy, and Khintchine

In this paper, we continue the ongoing research on lineability related questions. On this occasion, we shall consider (among others) the classes of integrable functions (in the sense of Riemann, Lebesgue, Denjoy, and Khintchine), improving some already known results and expanding the study of lineab...

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Detalles Bibliográficos
Autores: Fernández Sánchez, Juan, Rodríguez Vidanes, Daniel Luis, Seoane Sepúlveda, Juan Benigno, Trutschnig, W.
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/7273
Acceso en línea:https://hdl.handle.net/20.500.14352/7273
Access Level:acceso abierto
Palabra clave:517
Lineability
Algebrability
Denjoy integral
Riemann integral
Lebesgue integral
Khintchine integral
Análisis matemático
1202 Análisis y Análisis Funcional
Descripción
Sumario:In this paper, we continue the ongoing research on lineability related questions. On this occasion, we shall consider (among others) the classes of integrable functions (in the sense of Riemann, Lebesgue, Denjoy, and Khintchine), improving some already known results and expanding the study of lineability to other famous integrable classes never considered before.