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Factorizing Kernel Operators

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Factorizing Kernel Operators

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dc.contributor.author Galdames, O. es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2015-02-17T10:23:35Z
dc.date.available 2015-02-17T10:23:35Z
dc.date.issued 2013-01
dc.identifier.issn 0378-620X
dc.identifier.uri http://hdl.handle.net/10251/47181
dc.description.abstract Consider an operator T : X--->Y between Banach function spaces having adequate order continuity and Fatou properties. Assume that T can be factorized through a Banach space as T =SR, where R and the adjoint of S are p-th power and q-th power factorable, respectively. Then a canonical factorization scheme can be given for T. We show that it provides a tool for analyzing T that becomes specially useful for the case of kernel operators. In particular, we show that this square factorization scheme for T is equivalent to some inequalities for the bilinear form defined by T. Kernel operators are studied from this point of view. es_ES
dc.description.sponsorship Support of the Ministerio de Economia y Competitividad under project # MTM2012-36740-C02-02 (Spain) is gratefully acknowledged. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Integral Equations and Operator Theory es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Banach function space es_ES
dc.subject Kothe duality es_ES
dc.subject P-th power factorable operator es_ES
dc.subject Factorization es_ES
dc.subject Kernel operator. es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Factorizing Kernel Operators es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00020-012-2019-z
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2012-36740-C02-02/ES/Operadores multilineales, espacios de funciones integrables y aplicaciones/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Galdames, O.; Sánchez Pérez, EA. (2013). Factorizing Kernel Operators. Integral Equations and Operator Theory. 75(1):13-29. https://doi.org/10.1007/s00020-012-2019-z es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s00020-012-2019-z es_ES
dc.description.upvformatpinicio 13 es_ES
dc.description.upvformatpfin 29 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 75 es_ES
dc.description.issue 1 es_ES
dc.relation.senia 256575
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.description.references Bennett C., Sharpley R.: Interpolation of Operators. Academic Press, Boston (1988) es_ES
dc.description.references Calabuig J.M., Delgado O., Sánchez-Pérez E.A.: Factorizing operators on Banach function spaces through spaces of multiplication operators. J. Math. Anal. Appl. 364, 88–103 (2010) es_ES
dc.description.references Defant A.: Variants of the Maurey-Rosenthal theorem for quasi Köthe function spaces. Positivity 5, 153–175 (2001) es_ES
dc.description.references Defant A., Sánchez Pérez E.A.: Maurey-Rosenthal factorization of positive operators and convexity. J. Math. Anal. Appl. 297, 771–790 (2004) es_ES
dc.description.references Diestel, J., Uhl, J.J.: Vector Measures. Mathematical Surveys, vol. 15. American Mathematical Society, Providence (1977) es_ES
dc.description.references Fernández A., Mayoral F., Naranjo F., Sáez C., Sánchez-Pérez E.A.: Spaces of integrable functions with respect to a vector measure and factorizations through L p and Hilbert spaces. J. Math. Anal. Appl. 330, 1249–1263 (2007) es_ES
dc.description.references Galdames O., Sánchez Pérez E.A.: Optimal range theorems for operators with p-th power factorable adjoints. Banach J. Math. Anal. 6(1), 63–71 (2012) es_ES
dc.description.references Lindenstrauss J., Tzafriri L.: Classical Banach Spaces II. Springer, Berlin (1979) es_ES
dc.description.references Okada, S., Ricker, W.J., Sánchez Pérez, E.A.: Optimal Domain and Integral Extension of Operators acting in Function Spaces. Operator Theory: Adv. Appl., vol. 180. Birkhäuser, Basel (2008) es_ES
dc.description.references Zaanen, A.C.: Integration, 2nd revised edn. North Holland, Amsterdam; Interscience, New York (1967) es_ES


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