- -

Extendibility of bilinear forms on banach sequence spaces

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Extendibility of bilinear forms on banach sequence spaces

Mostrar el registro sencillo del ítem

Ficheros en el ítem

dc.contributor.author DANIEL CARANDO es_ES
dc.contributor.author Sevilla Peris, Pablo es_ES
dc.date.accessioned 2017-04-18T08:45:10Z
dc.date.available 2017-04-18T08:45:10Z
dc.date.issued 2014-03
dc.identifier.issn 0021-2172
dc.identifier.uri http://hdl.handle.net/10251/79717
dc.description.abstract [EN] We study Hahn-Banach extensions of multilinear forms defined on Banach sequence spaces. We characterize c(0) in terms of extension of bilinear forms, and describe the Banach sequence spaces in which every bilinear form admits extensions to any superspace. es_ES
dc.description.sponsorship The second author was supported by MICINN Project MTM2011-22417. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Israel Journal of Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Multilinear forms es_ES
dc.subject Extension es_ES
dc.subject Polynomials es_ES
dc.subject Subspaces es_ES
dc.subject Mappings es_ES
dc.subject L(P) es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Extendibility of bilinear forms on banach sequence spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11856-014-0003-9
dc.relation.projectID info:eu-repo/grantAgreement/UBA/UBACyT/20020100100746BA/AR/Operadores multilineales, polinomios y funciones analíticas en espacios de Banach/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/ANPCyT//PICT-2011-1456/AR/Análisis multilineal y complejo en espacios de Banach/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/CONICET//PIP 0624/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2011-22417/ES/ESPACIOS Y ALGEBRAS DE FUNCIONES DIFERENCIABLES/ 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. Escuela Técnica Superior de Ingeniería Agronómica y del Medio Natural - Escola Tècnica Superior d'Enginyeria Agronòmica i del Medi Natural es_ES
dc.description.bibliographicCitation DANIEL CARANDO; Sevilla Peris, P. (2014). Extendibility of bilinear forms on banach sequence spaces. Israel Journal of Mathematics. 199(2):941-954. https://doi.org/10.1007/s11856-014-0003-9 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s11856-014-0003-9 es_ES
dc.description.upvformatpinicio 941 es_ES
dc.description.upvformatpfin 954 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 199 es_ES
dc.description.issue 2 es_ES
dc.relation.senia 286467 es_ES
dc.identifier.eissn 1565-8511
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina es_ES
dc.contributor.funder Universidad de Buenos Aires es_ES
dc.description.references F. Albiac and N. J. Kalton, Topics in Banach Space Theory, Graduate Texts in Mathematics, Vol. 233, Springer, New York, 2006. es_ES
dc.description.references R. Arens, The adjoint of a bilinear operation, Proceedings of the American Mathematical Society 2 (1951), 839–848. es_ES
dc.description.references R. Arens, Operations induced in function classes, Monatshefte für Mathematik 55 (1951), 1–19. es_ES
dc.description.references R. M. Aron and P. D. Berner, A Hahn-Banach extension theorem for analytic mappings, Bulletin de la Société Mathématique de France 106 (1978), 3–24. es_ES
dc.description.references S. Banach, Sur les fonctionelles linéaires, Studia Mathematica 1 (1929), 211–216. es_ES
dc.description.references S. Banach, Théorie des opérations linéaires, (Monogr. Mat. 1) Warszawa: Subwncji Funduszu Narodowej. VII, 254 S., Warsaw, 1932. es_ES
dc.description.references D. Carando, Extendible polynomials on Banach spaces, Journal of Mathematical Analysis and Applications 233 (1999), 359–372. es_ES
dc.description.references D. Carando, Extendibility of polynomials and analytic functions on l p, Studia Mathematica 145 (2001), 63–73. es_ES
dc.description.references D. Carando, V. Dimant and P. Sevilla-Peris, Limit orders and multilinear forms on lp spaces, Publications of the Research Institute for Mathematical Sciences 42 (2006), 507–522. es_ES
dc.description.references J. M. F. Castillo, R. García, A. Defant, D. Pérez-García and J. Suárez, Local complementation and the extension of bilinear mappings, Mathematical Proceedings of the Cambridge Philosophical Society 152 (2012), 153–166. es_ES
dc.description.references J. M. F. Castillo, R. García and J. A. Jaramillo, Extension of bilinear forms on Banach spaces, Proceedings of the American Mathematical Society 129 (2001), 3647–3656. es_ES
dc.description.references P. Cembranos and J. Mendoza, The Banach spaces ℓ ∞(c 0) and c 0(ℓ ∞) are not isomorphic, Journal of Mathematical Analysis and Applications 367 (2010), 461–463. es_ES
dc.description.references A. Defant and K. Floret, Tensor Norms and Operator Ideals, North-Holland Mathematics Studies, Vol. 176, North-Holland Publishing Co., Amsterdam, 1993. es_ES
dc.description.references A. Defant and C. Michels, Norms of tensor product identities, Note di Matematica 25 (2005/06), 129–166. es_ES
dc.description.references J. Diestel, H. Jarchow and A. Tonge, Absolutely Summing Operators, Cambridge Studies in Advanced Mathematics, Vol. 43, Cambridge University Press, Cambridge, 1995. es_ES
dc.description.references D. J. H. Garling, On symmetric sequence spaces, Proceedings of the London Mathematical Society (3) 16 (1966), 85–106. es_ES
dc.description.references A. Grothendieck, Résumé de la théorie métrique des produits tensoriels topologiques, Bol. Soc. Mat. São Paulo 8 (1953), 1–79. es_ES
dc.description.references H. Hahn, Über lineare Gleichungssysteme in linearen Räumen, Journal für die Reine und Angewandte Mathematik 157 (1927), 214–229. es_ES
dc.description.references R. C. James, Bases and reflexivity of Banach spaces, Annals of Mathematics (2) 52 (1950), 518–527. es_ES
dc.description.references H. Jarchow, C. Palazuelos, D. Pérez-García and I. Villanueva, Hahn-Banach extension of multilinear forms and summability, Journal of Mathematical Analysis and Applications 336 (2007), 1161–1177. es_ES
dc.description.references W. B. Johnson and L. Tzafriri, On the local structure of subspaces of Banach lattices, Israel Journal of Mathematics 20 (1975), 292–299. es_ES
dc.description.references P. Kirwan and R. A. Ryan, Extendibility of homogeneous polynomials on Banach spaces, Proceedings of the American Mathematical Society 126 (1998), 1023–1029. es_ES
dc.description.references J. Lindenstrauss and A. Pełczyński, Absolutely summing operators in Lp-spaces and their applications, Studia Mathematica 29 (1968), 275–326. es_ES
dc.description.references J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces. II, Ergebnisse der Mathematik und ihrer Grenzgebiete [Results in Mathematics and Related Areas], Vol. 97, Springer-Verlag, Berlin, 1979. Function spaces. es_ES
dc.description.references G. Pisier, Factorization of Linear Operators and Geometry of Banach Spaces, CBMS Regional Conference Series in Mathematics, Vol. 60, Published for the Conference Board of the Mathematical Sciences, Washington, DC, 1986. es_ES
dc.description.references M. Fernndez-Unzueta and A. Prieto, Extension of polynomials defined on subspaces, Mathematical Proceedings of the Cambridge Philosophical Society 148 (2010), 505–518. es_ES
dc.description.references W. L. C. Sargent, Some sequence spaces related to the lp spaces, Journal of the London Mathematical Society 35 (1960), 161–171. es_ES
dc.description.references N. Tomczak-Jaegermann, Banach-Mazur Distances and Finite-Dimensional Operator Ideals, Pitman Monographs and Surveys in Pure and Applied Mathematics, Vol. 38, Longman Scientific & Technical, Harlow, 1989. es_ES


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

Mostrar el registro sencillo del ítem