- -

The uniform boundedness theorem in asymmetric normed spaces

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

The uniform boundedness theorem in asymmetric normed spaces

Mostrar el registro sencillo del ítem

Ficheros en el ítem

dc.contributor.author Alegre Gil, Maria Carmen es_ES
dc.contributor.author Romaguera Bonilla, Salvador es_ES
dc.contributor.author Veeramani, P. es_ES
dc.date.accessioned 2013-05-09T09:50:34Z
dc.date.available 2013-05-09T09:50:34Z
dc.date.issued 2012
dc.identifier.issn 1085-3375
dc.identifier.uri http://hdl.handle.net/10251/28703
dc.description.abstract We obtain a uniform boundedness type theorem in the frame of asymmetric normed spaces. The classical result for normed spaces follows as a particular case. es_ES
dc.description.sponsorship The authors are very grateful to the referee for many observations and comments that have allowed to improve the quality of the paper. The first two authors acknowledge the support of the Spanish Ministry of Science and Innovation under Grant MTM2009-12872-C02-01. The first author also acknowledges the support of the Spanish Ministry of Science and Innovation under Grant MTM2009-14483-C02-02. en_EN
dc.language Inglés es_ES
dc.publisher Hindawi Publishing Corporation en_EN
dc.relation.ispartof Abstract and Applied Analysis es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title The uniform boundedness theorem in asymmetric normed spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1155/2012/809626
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2009-12872-C02-01/ES/Construccion De Casi-Metricas Fuzzy, De Distancias De Complejidad Y De Dominios Cuantitativos. Aplicaciones/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2009-14483-C02-02/ES/Integracion Bilineal, Medidas Vectoriales Y Espacios De Funciones De Banach./ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Alegre Gil, MC.; Romaguera Bonilla, S.; Veeramani, P. (2012). The uniform boundedness theorem in asymmetric normed spaces. Abstract and Applied Analysis. 2012:1-8. https://doi.org/10.1155/2012/809626 es_ES
dc.description.accrualMethod S es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 8 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 2012 es_ES
dc.relation.senia 229743
dc.description.references García-Raffi, L. M., Romaguera, S., & Sánchez-Pérez, E. A. (2002). Sequence spaces and asymmetric norms in the theory of computational complexity. Mathematical and Computer Modelling, 36(1-2), 1-11. doi:10.1016/s0895-7177(02)00100-0 es_ES
dc.description.references García-Raffi, L. M., & Sanchez-Pérez, R. (2003). The Dual Space of an Asymmetric Normed Linear Space. Quaestiones Mathematicae, 26(1), 83-96. doi:10.2989/16073600309486046 es_ES
dc.description.references Alegre, C., Ferrer, J., & Gregori, V. (1999). Acta Mathematica Hungarica, 82(4), 325-330. doi:10.1023/a:1006692309917 es_ES
dc.description.references Ferrer, J., Gregori, V., & Alegre, C. (1993). Quasi-uniform Structures in Linear Lattices. Rocky Mountain Journal of Mathematics, 23(3), 877-884. doi:10.1216/rmjm/1181072529 es_ES
dc.description.references Romaguera, S., & Sanchis, M. (2000). Semi-Lipschitz Functions and Best Approximation in Quasi-Metric Spaces. Journal of Approximation Theory, 103(2), 292-301. doi:10.1006/jath.1999.3439 es_ES
dc.description.references Alimov, A. R. (2001). Functional Analysis and Its Applications, 35(3), 176-182. doi:10.1023/a:1012370610709 es_ES
dc.description.references Rodríguez-López, J., Schellekens, M. P., & Valero, O. (2009). An extension of the dual complexity space and an application to Computer Science. Topology and its Applications, 156(18), 3052-3061. doi:10.1016/j.topol.2009.02.009 es_ES
dc.description.references Romaguera, S., Sánchez-Pérez, E. A., & Valero, O. (2006). The Dual Complexity Space as the Dual of a Normed Cone. Electronic Notes in Theoretical Computer Science, 161, 165-174. doi:10.1016/j.entcs.2006.04.031 es_ES
dc.description.references Romaguera, S., & Schellekens, M. P. (2002). Duality and quasi-normability for complexity spaces. Applied General Topology, 3(1), 91. doi:10.4995/agt.2002.2116 es_ES
dc.description.references Cobzaş, S. (2004). Separation of Convex Sets and Best Approximation in Spaces with Asymmetric Norm. Quaestiones Mathematicae, 27(3), 275-296. doi:10.2989/16073600409486100 es_ES
dc.description.references Alegre, C. (2008). Continuous operators on asymmetric normed spaces. Acta Mathematica Hungarica, 122(4), 357-372. doi:10.1007/s10474-008-8039-0 es_ES
dc.description.references Alegre, C., Ferrando, I., García-Raffi, L. M., & Sánchez Pérez, E. A. (2008). Compactness in asymmetric normed spaces. Topology and its Applications, 155(6), 527-539. doi:10.1016/j.topol.2007.11.004 es_ES
dc.description.references Borodin, P. A. (2001). Mathematical Notes, 69(3/4), 298-305. doi:10.1023/a:1010271105852 es_ES
dc.description.references García-Raffi, L. M. (2005). Compactness and finite dimension in asymmetric normed linear spaces. Topology and its Applications, 153(5-6), 844-853. doi:10.1016/j.topol.2005.01.014 es_ES
dc.description.references García-Raffi, L. M., Romaguera, S., & Sánchez-Pérez, E. A. (2009). The Goldstine Theorem for asymmetric normed linear spaces. Topology and its Applications, 156(13), 2284-2291. doi:10.1016/j.topol.2009.06.001 es_ES
dc.description.references Howes, N. R. (1995). Modern Analysis and Topology. Universitext. doi:10.1007/978-1-4612-0833-4 es_ES
dc.description.references Alegre, C., Ferrer, J., & Gregori, V. (1998). On a class of real normed lattices. Czechoslovak Mathematical Journal, 48(4), 785-792. doi:10.1023/a:1022499925483 es_ES


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

Mostrar el registro sencillo del ítem