Sequential convergences and Dunford-Pettis properties
| dc.contributor.author | Jaramillo Aguado, Jesús Ángel | |
| dc.contributor.author | Prieto Yerro, M. Ángeles | |
| dc.contributor.author | Zalduendo, Ignacio | |
| dc.date.accessioned | 2023-06-20T16:59:52Z | |
| dc.date.available | 2023-06-20T16:59:52Z | |
| dc.date.issued | 2000 | |
| dc.description.abstract | Several forms of the Dunford-Pettis property are studied, each related to a different mode of sequential convergence, and a different class of weakly compact functions. The relationship between these Dunford-Pettis properties is investigated, and the appearance of previously studied Dunford-Pettis properties is pointed out, giving a unifying approach to the subject. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGICYT (Ministerio de Educación y Cultura de España) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16717 | |
| dc.identifier.issn | 1239-629X | |
| dc.identifier.officialurl | http://www.emis.ams.org/journals/AASF/Vol25/jaramill.pdf | |
| dc.identifier.relatedurl | http://www.emis.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57595 | |
| dc.issue.number | 2 | |
| dc.journal.title | Annales Academiae Scientiarum Fennicae-Mathematica | |
| dc.language.iso | eng | |
| dc.page.final | 475 | |
| dc.page.initial | 467 | |
| dc.publisher | Suomalainen Tiedeakatemia | |
| dc.relation.projectID | Grant PB-96/0607; SAB-95/0550 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 517.98 | |
| dc.subject.keyword | Sequential convergence | |
| dc.subject.keyword | Dunford-Pettis property | |
| dc.subject.keyword | holomorphic convergence | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | Sequential convergences and Dunford-Pettis properties | |
| dc.type | journal article | |
| dc.volume.number | 25 | |
| dcterms.references | Aron, R.M., Y.S. Choi, and J.G. Llavona: Estimates by polynomials. - Bull. Austral. Math. Soc. 52, 1995, 475-486. Biström, P., J.A. Jaramillo, and M. Lindström: Polynomial compactness in Banach spaces. - Rocky Mountain J. Math. 28(1), 1998, 1203-1226. Borwein, J., M. Fabian, and J. Vanderwerff: Characterizations of Banach spaces via convex and other locally Lipschitz functions. - Acta Math. Vietnam. 22(1), 1997, 53-69. Bourgain, J.: H1 is a Grothendieck space. - Studia Math. 75, 1982, 193-226. Bourgain, J.: New Banach space properties of the disc algebra and H1. - Acta Math.152, 1984, 1-48. Castillo, J.M.F., and F. Sánchez: Dunford-Pettis-like properties of continuous vector function spaces. - Rev. Mat. Univ. Complut. Madrid 6(1), 1993, 43-59. Cembranos, P.: The hereditary Dunford-Pettis property on C(K;E) . - Illinois J. Math. 31(3), 1987, 365-373. Diestel, J.: A survey of results related to the Dunford-Pettis property. - Contemp. Math. 2, Amer. Math. Soc., Providence, RI, 1980, 15-60. Diestel, J.: Sequences and Series in Banach Spaces. - Graduate Texts in Math. 92, Springer-Verlag, New York, 1984. Dineen, S.: Complex Analysis on Infinite Dimensional Spaces. - Springer Monogr. Math., Springer-Verlag, London, 1999. Dudley, R.M.: On sequential convergence. - Trans. Amer. Math. Soc. 112, 1964, 483-507. Farmer, J.D., and W.B. Johnson: Polynomial Schur and polynomial Dunford-Pettis properties. - Contemp. Math. 144, 1993, 95-105. Josefson, B.: Weak sequential convergence in the dual of a Banach space does not imply norm convergence. - Ark. Mat. 13, 1975, 79-89. Pelczynski, A.: A property of multilinear operations. - Studia Math. 16, 1957, 173-182. Petunin, Y.I., and V.I. Savkin: Convergence generated by analytic functions. – Ukranian Math. J. 40, 1988, 676-679. Ryan, R.A.: Dunford {Pettis properties. - Bull. Acad. Polon. Sci. Math. 27, 1979, 373-379. Ryan, R.A.: Weakly compact holomorphic mappings on Banach spaces. - Paci¯c J. Math. 131(1), 1988, 179-190. Schaefer, H.H.: Topological Vector Spaces. - Graduate Texts in Math. 3, Springer-Verlag, New York, 1971. | |
| dspace.entity.type | Publication | |
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| relation.isAuthorOfPublication.latestForDiscovery | 8b6e753b-df15-44ff-8042-74de90b4e3e9 |
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