- -

Undominated Sequences of Integrable Functions

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Undominated Sequences of Integrable Functions

Mostrar el registro completo del ítem

Bernal-González, L.; Calderón-Moreno, MDC.; Murillo Arcila, M.; Prado-Bassas, JA. (2020). Undominated Sequences of Integrable Functions. Mediterranean Journal of Mathematics. 17(6):1-17. https://doi.org/10.1007/s00009-020-01631-2

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/176361

Ficheros en el ítem

Thumbnail
Nombre: Bernal-GonzalezCa ...
Tamaño: 417.0Kb
Formato: PDF
Descripción: Versión del Autor.
Abrir/Preview
[Cerrado]
Nombre: Bernal-Gonz-lez_e ...
Tamaño: 423.5Kb
Formato: PDF
Descripción: Versión editorial
Solicitar una copia al autor

Metadatos del ítem

Título: Undominated Sequences of Integrable Functions
Autor: Bernal-González, Luis Calderón-Moreno, María del Carmen Murillo Arcila, Marina Prado-Bassas, José A.
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] 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 ...[+]
Palabras clave: Integrable function , Continuous function , Undominated sequence , Lineability , Residual set
Derechos de uso: Reserva de todos los derechos
Fuente:
Mediterranean Journal of Mathematics. (issn: 1660-5446 )
DOI: 10.1007/s00009-020-01631-2
Editorial:
Springer-Verlag
Versión del editor: https://doi.org/10.1007/s00009-020-01631-2
Código del Proyecto:
info:eu-repo/grantAgreement/Junta de Andalucía//FQM-127//Análisis Funcional No Lineal/
info:eu-repo/grantAgreement/Junta de Andalucía//P08-FQM-03543//Análisis matemático/
info:eu-repo/grantAgreement/AEI//PGC2018-098474-B-C21//METODOS DEL ANALISIS FUNCIONAL APLICADOS A: PROBLEMAS NO LINEALES, TEORIA DE JUEGOS Y LINEABILIDAD/
info:eu-repo/grantAgreement/AEI//MTM2016-75963-P//DINAMICA DE OPERADORES/
info:eu-repo/grantAgreement/AEI//PID2019-105011GB-I00//DINAMICA DE OPERADORES/
Agradecimientos:
Luis Bernal-Gonzalez, Maria del Carmen Calderon-Moreno, and Jose A. Prado-Bassas have been supported by the Plan Andaluz de Investigacion de la Junta de Andalucia FQM-127 Grant P08-FQM-03543 and by MCINN Grant PGC2018-09 ...[+]
Tipo: Artículo

References

Araújo, G., Bernal-González, L., Muñoz-Fernández, G.A., Prado-Bassas, J.A., Seoane-Sepúlveda, J.B.: Lineability in sequence and function spaces. Stud. Math. 237, 119–136 (2017)

Aron, R.M., Bernal-González, L., Pellegrino, D.M., Seoane-Sepúlveda, J.B.: Lineability: The Search for Linearity in Mathematics, Monographs and Research Notes in Mathematics. CRC Press, Boca Raton (2016)

Aron, R., García, D., Maestre, M.: Linearity in non-linear problems. RACSAM. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat 95(1), 7–12 (2001) [+]
Araújo, G., Bernal-González, L., Muñoz-Fernández, G.A., Prado-Bassas, J.A., Seoane-Sepúlveda, J.B.: Lineability in sequence and function spaces. Stud. Math. 237, 119–136 (2017)

Aron, R.M., Bernal-González, L., Pellegrino, D.M., Seoane-Sepúlveda, J.B.: Lineability: The Search for Linearity in Mathematics, Monographs and Research Notes in Mathematics. CRC Press, Boca Raton (2016)

Aron, R., García, D., Maestre, M.: Linearity in non-linear problems. RACSAM. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat 95(1), 7–12 (2001)

Aron, R.M., Gurariy, V.I., Seoane-Sepúlveda, J.B.: Lineability and spaceability of sets of functions on $${\mathbb{R}}$$. Proc. Am. Math. Soc. 133(3), 795–803 (2005)

Balcerzak, M., Bartoszewicz, A., Filipczak, M.: Nonseparable spaceability and strong algebrability of sets of continuous singular functions. J. Math. Anal. Appl. 407(2), 263–269 (2013)

Bartoszewicz, A., Bienias, M., Gła̧b, S.: Lineability within Peano curves, martingales, and integral theory. J. Funct. Spaces 2018, Article ID 9762491 (2018)

Bernal-González, L., Ordóñez Cabrera, M.: Lineability criteria, with applications. J. Funct. Anal. 266(6), 3997–4025 (2014). https://doi.org/10.1016/j.jfa.2013.11.014

Bernal-González, L., Pellegrino, D., Seoane-Sepúlveda, J.B.: Linear subsets of nonlinear sets in topological vector spaces. Bull. Am. Math. Soc. (N.S.) 51(1), 71–130 (2014)

Bongiorno, B., Darji, U.B., Di Piazza, L.: Lineability of non-differentiable Pettis primitives. Monatsh. Math. 177, 345–362 (2015)

Calderón-Moreno, M.C., Gerlach-Mena, P.J., Prado-Bassas, J.A.: Algebraic structure of continuous, unbounded and integrable functions. J. Math. Anal. Appl. 470, 348–359 (2019)

Calderón-Moreno, M.C., Gerlach-Mena, P.J., Prado-Bassas, J.A.: Lineability and modes of convergence. RACSAM. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. 114, 18 (2020)

Conejero, J.A., Fenoy, M., Murillo-Arcila, M., Seoane-Sepúlveda, J.B.: Lineability within probability theory settings. RACSAM. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. 111, 673–684 (2017)

Diestel, J.: Sequences and Series in Banach Spaces, Graduate Texts in Mathematics, vol. 92. Springer, New York (1984)

Enflo, P.H., Gurariy, V.I., Seoane-Sepúlveda, J.B.: Some results and open questions on spaceability in function spaces. Trans. Am. Math. Soc. 366(2), 611–625 (2014)

Gurariy, V.I., Quarta, L.: On lineability of sets of continuous functions. J. Math. Anal. Appl. 294(1), 62–72 (2004)

Hinrichsen, D., Fernández, J.L.: Topología General. Urmo, Bilbao (1977)

Hunt, B.R., Sauer, T., Yorke, J.A.: Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces. Bull. Am. Math. Soc. (N.S.) 27(2), 217–238 (1992)

Narici, L., Beckenstein, L.: Topological Vector Spaces, 2nd edn. CRC Press, Chapman and Hall, Boca Raton (2011)

Nielsen, O.A.: An Introduction to Integration and Measure Theory, Canadian Mathematical Society Series of Monographs and Advanced Texts. Wiley, New York (1997)

Oxtoby, J.C.: Measure and Category, 2nd edn. Springer, New York (1980)

Rodríguez, J.: On lineability in vector integration. Mediterr. J. Math. 10, 425–9438 (2013)

Rudin, W.: Real and Complex Analysis, vol. 3. McGraw-Hill Book Co., New York (1987)

Seoane-Sepúlveda, J.B.: Chaos and lineability of pathological phenomena in analysis, Thesis (Ph.D.). Kent State University, ProQuest LLC, Ann Arbor, 139 (2006)

Wilard, S.: General Topology. Addison Wesley, Reading (1970)

[-]

recommendations

 

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro completo del ítem