A general Extrapolation Theorem for absolutely summing operators
| dc.contributor.author | Pellegrino, Daniel | |
| dc.contributor.author | Santos, J | |
| dc.contributor.author | Seoane Sepúlveda, Juan Benigno | |
| dc.date.accessioned | 2023-06-20T00:25:33Z | |
| dc.date.available | 2023-06-20T00:25:33Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | In this note, we prove a general version of the Extrapolation Theorem for absolutely summing operators, extending the classical theorem due to B. Maurey ['Theoremes de factorisation pour les operateurs a valeurs dans les espaces L-p', Soc. Math. France, Asterisque 11, Paris, 1974]. Our result also contains the recent Extrapolation Theorem for Lipschitz p-summing operators as a particular case and also provides new extrapolation-type theorems. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | CNPq | |
| dc.description.sponsorship | Spanish Ministry of Science and Innovation | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/19939 | |
| dc.identifier.doi | 10.1112/blms/bds064 | |
| dc.identifier.issn | 0024-6093 | |
| dc.identifier.officialurl | http://www.journals.cambridge.org/journal_BulletinoftheLondonMathematicalSociety | |
| dc.identifier.relatedurl | http://blms.oxfordjournals.org/ | |
| dc.identifier.relatedurl | http://arxiv.org/pdf/1112.5901.pdf | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/42550 | |
| dc.issue.number | 6 | |
| dc.journal.title | Bulletin of the London Mathematical Society | |
| dc.language.iso | eng | |
| dc.page.final | 1302 | |
| dc.page.initial | 1292 | |
| dc.publisher | Cambridge Univ. Press | |
| dc.relation.projectID | Grant 301237/2009-3. | |
| dc.relation.projectID | grant MTM2009-07848. | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.98 | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | A general Extrapolation Theorem for absolutely summing operators | |
| dc.type | journal article | |
| dc.volume.number | 44 | |
| dcterms.references | D. Achour, ‘Multilinear extensions of absolutely (p; q; r)-summing operators’, Rend. Circ. Mat. Palermo 60 (2011) 337–350. J. Bastero, M. Milman and F. Ruiz, ‘Reverse Holder inequalites and interpolation, function spaces, interpolation and related topics’, Israel Math. Conf. Proc.13 (1999) 11–23. G. Botelho, D. Pellegrino and P. Rueda, ‘Pietsch’s factorization theorem for dominated polynomials’, J. Funct. Anal. 243 (2007) 257–269. G. Botelho, D. Pellegrino and P. Rueda, ‘A nonlinear ietsch domination theorem’, Monatsh. Math.158 (2009) 247–257. G. Botelho, D. Pellegrino and P. Rueda, ‘A unified Pietsch Domination Theorem’, J. Math. Anal.Appl. 365 (2010) 269–276. G. Botelho, D. Pellegrino and P. Rueda, ‘Cotype and absolutely summing linear operators’, Math. Z.267 (2011) 1–7. J. A. Chavez-Domınguez, ‘Duality for Lipschitz p-summing operators’, J. Funct. Anal. 261 (2011)387–407. J. A. Chavez-Domınguez, ‘Lipschitz (q; p)-mixing operators’, Proc. Amer. Math. Soc. 140 (2012) 3101–3115. D. Chen and B. Zheng, ‘Remarks on Lipschitz p-summing operators’, Proc. Amer. Math. Soc. 139 (2011)2891–2898. J. Diestel, H. Jarchow and A. Tonge, Absolutely summing operators (Cambridge University Press,Cambridge, UK, 1995). J. Diestel, A. M. Peralta and D. Puglisi, ‘Sequential w-right continuity and summing operators’, Math.Nachr. 284 (2011) 664–680. J. Farmer and W. B. Johnson, ‘Lipschitz p-summing operators’, Proc. Amer. Math. Soc. 137 (2009)2989–2995. D. J. H. Garling, Inequalities: a journey into linear analysis (Cambridge University Press, New York,2007). 14. B. Jawerth and M. Milman, ‘Extrapolation theory with applications’, Mem. Amer. Math. Soc. 89 (1991)iv+82pp. M. C. Matos, ‘Nonlinear absolutely summing multilinear mappings between Banach spaces’, Math. Nachr.258 (2003) 71–89. B. Maurey, ‘Theoremes de factorisation pour les operateurs `a valeurs dans les espaces Lp’, Soc.Math.France,Asterisque 11, Paris, 1974. B. Mitiagin and A. Pelczy´nski, Nuclear operators and approximative dimensions, Proceedings International Congress of Mathematics (Moscow, 1966). D. Pellegrino and J. Santos, ‘A general Pietsch Domination Theorem’, J. Math. Anal. Appl. 375 (2011)371–374. D. Pellegrino and J. Santos, ‘On summability of nonlinear maps: a new approach’, Math Z. 270 (2012)189–196. D. Pellegrino, J. Santos and J. B. Seoane-Sepulveda, ‘Some techniques on nonlinear analysis and applications’, Adv.Math. 229 (2012) 1235–1265. A. Pietsch, ‘Absolut p-summierende Abbildungen in normieten Raumen’, Studia Math. 27 (1967) 333–353. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | e85d6b14-0191-4b04-b29b-9589f34ba898 | |
| relation.isAuthorOfPublication.latestForDiscovery | e85d6b14-0191-4b04-b29b-9589f34ba898 |
