Tensor Characterizations of Summing Polynomials
| dc.contributor.affiliation | Departamento de Matemática Aplicada | |
| dc.contributor.affiliation | Instituto Universitario de Matemática Pura y Aplicada | |
| dc.contributor.affiliation | Escuela Técnica Superior de Ingeniería de Caminos, Canales y Puertos | |
| dc.contributor.author | Achour, D. | es_ES |
| dc.contributor.author | Alouani, A. | es_ES |
| dc.contributor.author | Rueda, P. | es_ES |
| dc.contributor.author | Sánchez Pérez, Enrique Alfonso | |
| dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |
| dc.date.accessioned | 2019-09-11T20:01:17Z | |
| dc.date.available | 2019-09-11T20:01:17Z | |
| dc.date.issued | 2018 | es_ES |
| dc.description.abstract | [EN] Operators T that belong to some summing operator ideal, can be characterized by means of the continuity of an associated tensor operator T that is de¿ned between tensor products of sequences spaces. In this paper we provide a unifying treatment of these tensor product characterizations of summing operators. We work in the more general frame provided by homogeneous polynomials, where an associated ¿ten-sor¿ polynomial ¿which plays the role of T ¿, needs to be determined ¿rst. Examples of applications are shown. | en_EN |
| dc.description.accrualMethod | S | es_ES |
| dc.description.bibliographicCitation | Achour, D.; Alouani, A.; Rueda, P.; Sánchez Pérez, EA. (2018). Tensor Characterizations of Summing Polynomials. Mediterranean Journal of Mathematics. 15(3):127-139. https://doi.org/10.1007/s00009-018-1175-z | es_ES |
| dc.description.issue | 3 | es_ES |
| dc.description.references | Achour, D.: Multilinear extensions of absolutely (p;q;r)-summing operators. Rend. Circ. Mat. Palermo (2) 60(3), 337–350 (2011) | es_ES |
| dc.description.references | Achour, D., Alouani, A.: On multilinear generalizations of the concept of nuclear operators. Colloq. Math. 120(1), 85–102 (2010) | es_ES |
| dc.description.references | Achour, D., Saadi, K.: A polynomial characterization of Hilbert spaces. Collectanea. Math. 61(3), 291–301 (2010) | es_ES |
| dc.description.references | Aron, R.M., Rueda, P.: p-Compact homogeneous polynomials from an ideal point of view. Function spaces in modern analysis, Contemp. Math., vol. 547. American Mathematical Society, Providence, RI, pp. 61–71 (2011) | es_ES |
| dc.description.references | Botelho, G.: Ideals of polynomials generated by weakly compact operators. Note di Mat. 25, 69–102 (2005) | es_ES |
| dc.description.references | Botelho, G.: Type, cotype and generalized Rademacher functions. Rocky Mt. J. Math. 28, 1227–1250 (1998) | es_ES |
| dc.description.references | Botelho, G., Campos, J.: On the transformation of vector-valued sequences by linear and multilinear operators. Monatsh. Math. 183(2017), 415–435 (2015) | es_ES |
| dc.description.references | Botelho, G., Campos, J., Santos, J.: Operator ideals related to absolutely summing and Cohen strongly summing operators. Pac. J. Math. 287, 1–17 (2017) | es_ES |
| dc.description.references | Botelho, G., Pellegrino, D., Rueda, P.: Preduals of spaces of homogeneous polynomials on $$L_p$$ L p -spaces. Linear Multilinear Algebra 60(5), 565–571 (2012) | es_ES |
| dc.description.references | Botelho, G., Pellegrino, D., Rueda, P.: Dominated polynomials on infinite dimensional spaces. Proc. Am. Math. Soc. 138(1), 209–216 (2010) | es_ES |
| dc.description.references | Botelho, G., Pellegrino, D., Rueda, P.: Pietsch’s factorization theorem for dominated polynomials. J. Funct. Anal. 243(1), 257–269 (2007) | es_ES |
| dc.description.references | Çalişkan, E., Pellegrino, D.M.: On the multilinear generalizations of the concept of absolutely summing operators. Rocky Mt. J. Math. 37(4), 1137–1154 (2007) | es_ES |
| dc.description.references | Çalişkan, E., Rueda, P.: On distinguished polynomials and their projections. Ann. Acad. Sci. Fenn. Math. 37, 595–603 (2012) | es_ES |
| dc.description.references | Cilia, R., Gutiérrez, J.: Dominated, diagonal polynomials on $$\ell _p$$ ℓ p spaces. Arch. Math. 84, 421–431 (2005) | es_ES |
| dc.description.references | Cohen, J.S.: Absolutely p-summing, p-nuclear operators and their conjugates. Math. Ann. 201, 177–200 (1973) | es_ES |
| dc.description.references | Defant, A., Floret, K.: Tensor norms and operator ideals. North-Holland Mathematics Studies, vol. 176. North-Holland Publishing Co., Amsterdam (1993) | es_ES |
| dc.description.references | Diestel, J., Jarchow, H., Tonge, A.:, Absolutely summing operators. Cambridge Studies in Advanced Mathematics, vol. 43. Cambridge University Press, Cambridge (1995) | es_ES |
| dc.description.references | Dimant, V.: Strongly p-summing multilinear operators. J. Math. Anal. Appl. 278, 182–193 (2003) | es_ES |
| dc.description.references | Matos, M., Floret, K.: Application of a Khintchine inequality to holomorphic mappings. Math. Nachr. 176, 65–72 (1995) | es_ES |
| dc.description.references | Mujica, J.: Complex Analysis in Banach spaces. Dover Publications Inc., New York (2010) | es_ES |
| dc.description.references | Pérez-García, D.: Comparing different classes of absolutely summing multilinear operators. Arch. Math. 85, 258–267 (2005) | es_ES |
| dc.description.references | Pellegrino, D., Rueda, P., Sánchez-Pérez, E.A.: Surveying the spirit of absolute summability on multilinear operators and homogeneous polynomials. Rev. R. Acad. Cienc. Exactas Fs. Nat. Ser. A Math. RACSAM 110(1), 285–302 (2016) | es_ES |
| dc.description.references | Pietsch, A.: Operator ideals. North-Holland Mathematical Library, vol. 20. North-Holland Publishing Co, Amsterdam-New York (1980) | es_ES |
| dc.description.references | Rueda, P., Sánchez-Pérez, E.A.: Factorization of p-dominated polynomials through $$L_p$$ L p -spaces. Mich. Math. J. 63(2), 345–353 (2014) | es_ES |
| dc.description.references | Rueda, P., Sánchez-Pérez, E.A., Tallab, A.: Traced tensor norms and multiple summing multilinear operators. Linear Multilinear Algebra 65(4), 768–786 (2017) | es_ES |
| dc.description.sponsorship | The third and fourth authors acknowledge with thanks the Ministerio de Economia, Industria y Competitividad and FEDER Grant MTM2016-77054-C2-1-P. The authors thank the referee for his valuable suggestions that improved the final presentation of the paper. | es_ES |
| dc.description.upvformatpfin | 139 | es_ES |
| dc.description.upvformatpinicio | 127 | es_ES |
| dc.description.volume | 15 | es_ES |
| dc.identifier.doi | 10.1007/s00009-018-1175-z | es_ES |
| dc.identifier.issn | 1660-5446 | es_ES |
| dc.identifier.uri | https://riunet.upv.es/handle/10251/125576 | |
| dc.language | Inglés | es_ES |
| dc.publisher | Springer-Verlag | es_ES |
| dc.relation.ispartof | Mediterranean Journal of Mathematics | es_ES |
| dc.relation.pasarela | S\373850 | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2016-77054-C2-1-P/ES/ANALISIS NO LINEAL, INTEGRACION VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACION/ | es_ES |
| dc.relation.publisherversion | http://doi.org/10.1007/s00009-018-1175-z | es_ES |
| dc.relation.references | 10.1007/s12215-011-0054-2 | es_ES |
| dc.relation.references | 10.4064/cm120-1-7 | es_ES |
| dc.relation.references | 10.1007/BF03191234 | es_ES |
| dc.relation.references | 10.1090/conm/547/10807 | es_ES |
| dc.relation.references | 10.1216/rmjm/1181071713 | es_ES |
| dc.relation.references | 10.2140/pjm.2017.287.1 | es_ES |
| dc.relation.references | 10.1080/03081087.2011.613832 | es_ES |
| dc.relation.references | 10.1090/S0002-9939-09-10002-3 | es_ES |
| dc.relation.references | 10.1016/j.jfa.2006.10.001 | es_ES |
| dc.relation.references | 10.1216/rmjm/1187453101 | es_ES |
| dc.relation.references | 10.5186/aasfm.2012.3745 | es_ES |
| dc.relation.references | 10.1007/s00013-005-1194-4 | es_ES |
| dc.relation.references | 10.1007/BF01427941 | es_ES |
| dc.relation.references | 10.1017/CBO9780511526138 | es_ES |
| dc.relation.references | 10.1016/S0022-247X(02)00710-2 | es_ES |
| dc.relation.references | 10.1002/mana.19951760106 | es_ES |
| dc.relation.references | 10.1007/s00013-005-1125-4 | es_ES |
| dc.relation.references | 10.1007/s13398-015-0224-8 | es_ES |
| dc.relation.references | 10.1307/mmj/1401973054 | es_ES |
| dc.relation.references | 10.1080/03081087.2016.1202186 | es_ES |
| dc.rights | Reserva de todos los derechos | es_ES |
| dc.rights.accessRights | Abierto | es_ES |
| dc.subject | Homogeneous polynomial | es_ES |
| dc.subject | Summing operator | es_ES |
| dc.subject | P-nuclear operator | es_ES |
| dc.subject | Tensor norm | es_ES |
| dc.subject.classification | MATEMATICA APLICADA | es_ES |
| dc.title | Tensor Characterizations of Summing Polynomials | es_ES |
| dc.type | Artículo | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dspace.entity.type | Publication | |
| person.identifier | 1735 | |
| person.identifier.orcid | 0000-0001-8854-3154 | |
| relation.isAuthorOfPublication | 7ba0ec0d-8c52-43ce-ad81-51a0065ae426 | |
| relation.isAuthorOfPublication.latestForDiscovery | 7ba0ec0d-8c52-43ce-ad81-51a0065ae426 | |
| relation.isOrgUnitOfPublication | 1062a9b0-be7f-4afa-a1a1-1bbd944e9165 | |
| relation.isOrgUnitOfPublication | 7e7e57e7-7dd0-4216-b896-7a30ad9dcac3 | |
| relation.isOrgUnitOfPublication | a4b47ff5-95f4-430f-a1a3-541cb8eaa9b7 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 1062a9b0-be7f-4afa-a1a1-1bbd944e9165 | |
| upv.uuid | 6bb308ad-c55d-452c-867c-ecbbc0bb46ef | es_ES |
Archivos
Bloque original
1 - 2 de 2
Cargando...
- Nombre:
- Achour;Alouani;Rueda - Tensor Characterizations of Summing Polynomials.pdf
- Tamaño:
- 354.13 KB
- Formato:
- Adobe Portable Document Format
- Descripción:
- Versión del Autor.
Cargando...
- Nombre:
- Achour2018_Article_TensorCharacterizationsOfSummi.pdf
- Tamaño:
- 545.19 KB
- Formato:
- Adobe Portable Document Format
- Descripción:
- Versión editorial