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Factorization of Operators Through Orlicz Spaces

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Factorization of Operators Through Orlicz Spaces

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dc.contributor.author Mastylo, M. es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2020-10-30T04:32:11Z
dc.date.available 2020-10-30T04:32:11Z
dc.date.issued 2017-10 es_ES
dc.identifier.issn 0126-6705 es_ES
dc.identifier.uri http://hdl.handle.net/10251/153681
dc.description.abstract [EN] We study factorization of operators between quasi-Banach spaces. We prove the equivalence between certain vector norm inequalities and the factorization of operators through Orlicz spaces. As a consequence, we obtain the Maurey-Rosenthal factorization of operators into L-p-spaces. We give several applications. In particular, we prove a variant of Maurey's Extension Theorem. es_ES
dc.description.sponsorship The research of the first author was supported by the National Science Centre (NCN), Poland, Grant No. 2011/01/B/ST1/06243. The research of the second author was supported by Ministerio de Economia y Competitividad, Spain, under project #MTM2012-36740-C02-02 es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Bulletin of the Malaysian Mathematical Sciences Society es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Factorization es_ES
dc.subject Banach function lattice es_ES
dc.subject Banach envelope es_ES
dc.subject Orlicz space es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Factorization of Operators Through Orlicz Spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s40840-015-0158-5 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/NCN//2011%2F01%2FB%2FST1%2F06243/ es_ES
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 Mastylo, M.; Sánchez Pérez, EA. (2017). Factorization of Operators Through Orlicz Spaces. Bulletin of the Malaysian Mathematical Sciences Society. 40(4):1653-1675. https://doi.org/10.1007/s40840-015-0158-5 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s40840-015-0158-5 es_ES
dc.description.upvformatpinicio 1653 es_ES
dc.description.upvformatpfin 1675 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 40 es_ES
dc.description.issue 4 es_ES
dc.relation.pasarela S\353687 es_ES
dc.contributor.funder National Science Centre, Polonia es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.description.references Calderón, A.P.: Intermediate spaces and interpolation, the complex method. Stud. Math. 24, 113–190 (1964) es_ES
dc.description.references Davis, W.J., Garling, D.J.H., Tomczak-Jaegermann, N.: The complex convexity of quasi-normed linear spaces. J. Funct. Anal. 55, 110–150 (1984) 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., Mastyło, M., Michels, C.: Orlicz norm estimates for eigenvalues of matrices. Isr. J. Math. 132, 45–59 (2002) 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 Defant, A., Sánchez Pérez, E.A.: Domination of operators on function spaces. Math. Proc. Camb. Phil. Soc. 146, 57–66 (2009) es_ES
dc.description.references Diestel, J.: Sequences and Series in Banach Spaces. Springer, Berlin (1984) es_ES
dc.description.references Diestel, J., Jarchow, H., Tonge, A.: Absolutely Summing Operators. Cambridge University Press, Cambridge (1995) es_ES
dc.description.references Dilworth, S.J.: Special Banach lattices and their applications. In: Handbook of the Geometry of Banach Spaces, vol. 1. Elsevier, Amsterdam (2001) es_ES
dc.description.references Figiel, T., Pisier, G.: Séries alétoires dans les espaces uniformément convexes ou uniformément lisses. Comptes Rendus de l’Académie des Sciences, Paris, Série A 279, 611–614 (1974) es_ES
dc.description.references Kalton, N.J., Montgomery-Smith, S.J.: Set-functions and factorization. Arch. Math. (Basel) 61(2), 183–200 (1993) es_ES
dc.description.references Kamińska, A., Mastyło, M.: Abstract duality Sawyer formula and its applications. Monatsh. Math. 151(3), 223–245 (2007) es_ES
dc.description.references Kantorovich, L.V., Akilov, G.P.: Functional Analysis, 2nd edn. Pergamon Press, Oxford (1982) es_ES
dc.description.references Lindenstrauss, J., Tzafriri, L.: Classical Banach Spaces II. Springer, Berlin (1979) es_ES
dc.description.references Lozanovskii, G.Ya.: On some Banach lattices IV, Sibirsk. Mat. Z. 14, 140–155 (1973) (in Russian); English transl.: Siberian. Math. J. 14, 97–108 (1973) es_ES
dc.description.references Lozanovskii, G.Ya.:Transformations of ideal Banach spaces by means of concave functions. In: Qualitative and Approximate Methods for the Investigation of Operator Equations, Yaroslavl, vol. 3, pp. 122–147 (1978) (Russian) es_ES
dc.description.references Mastyło, M., Szwedek, R.: Interpolative constructions and factorization of operators. J. Math. Anal. Appl. 401, 198–208 (2013) es_ES
dc.description.references Nikišin, E.M.: Resonance theorems and superlinear operators. Usp. Mat. Nauk 25, 129–191 (1970) (Russian) 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 Pisier, G.: 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 Reisner, S.: On two theorems of Lozanovskii concerning intermediate Banach lattices, geometric aspects of functional analysis (1986/87). Lecture Notes in Math., vol. 1317, pp. 67–83. Springer, Berlin (1988) es_ES
dc.description.references Wojtaszczyk, P.: Banach Spaces for Analysts. Cambridge University Press, Cambridge (1991) es_ES


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