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Optimal Extensions for pth Power Factorable Operators

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Optimal Extensions for pth Power Factorable Operators

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Delgado Garrido, O.; Sánchez Pérez, EA. (2016). Optimal Extensions for pth Power Factorable Operators. Mediterranean Journal of Mathematics. 13(6):4281-4303. https://doi.org/10.1007/s00009-016-0745-1

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Título: Optimal Extensions for pth Power Factorable Operators
Autor: Delgado Garrido, Olvido Sánchez Pérez, Enrique Alfonso
Entidad UPV: Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] Let be a function space related to a measure space with and let be a Banach space-valued operator. It is known that if T is pth power factorable then the largest function space to which T can be extended preserving ...[+]
Palabras clave: Integration with respect to a vector measure defined on a delta-ring , Optimal extension of an operator , Pth power factorable operator , Quasi-Banach function space
Derechos de uso: Reserva de todos los derechos
Fuente:
Mediterranean Journal of Mathematics. (issn: 1660-5446 )
DOI: 10.1007/s00009-016-0745-1
Editorial:
Springer-Verlag
Versión del editor: https://doi.org/10.1007/s00009-016-0745-1
Código del Proyecto:
info:eu-repo/grantAgreement/Junta de Andalucía//P11-FQM-7276/ES/Teoría de la aproximación, funciones especiales y modelos matemáticos: de la teoría a las aplicaciones oftalmológicas/
info:eu-repo/grantAgreement/Junta de Andalucía//FQM-262/ES/Teoria De La Aproximacion/
info:eu-repo/grantAgreement/MINECO//MTM2012-36732-C03-03/ES/ORTOGONALIDAD Y APROXIMACION: TEORIA Y APLICACIONES EN CIENCIA Y TECNOLOGIA/
info:eu-repo/grantAgreement/MINECO//MTM2012-36740-C02-02/ES/Operadores multilineales, espacios de funciones integrables y aplicaciones/
Agradecimientos:
O. Delgado gratefully acknowledges the support of the Ministerio de Economia y Competitividad (Project #MTM2012-36732-C03-03) and the Junta de Andalucia (Projects FQM-262 and FQM-7276), Spain. E.A. Sanchez Perez ...[+]
Tipo: Artículo

References

Bennett, C., Sharpley, R.: Interpolation of operators. Academic Press, Boston (1988)

Brooks J.K., Dinculeanu N.: Strong additivity, absolute continuity and compactness in spaces of measures, J. Math. Anal. Appl 45, 156–175 (1974)

Calabuig J.M., Delgado O., Juan M.A., Sánchez Pérez E.A.: On the Banach lattice structure of L 1 w of a vector measure on a $${\delta}$$ δ -ring. Collect. Math 65, 67–85 (2014) [+]
Bennett, C., Sharpley, R.: Interpolation of operators. Academic Press, Boston (1988)

Brooks J.K., Dinculeanu N.: Strong additivity, absolute continuity and compactness in spaces of measures, J. Math. Anal. Appl 45, 156–175 (1974)

Calabuig J.M., Delgado O., Juan M.A., Sánchez Pérez E.A.: On the Banach lattice structure of L 1 w of a vector measure on a $${\delta}$$ δ -ring. Collect. Math 65, 67–85 (2014)

Calabuig J.M., Delgado J.M., Sánchez Pérez E.A.: Factorizing operators on Banach function spaces through spaces of multiplication operators. J. Math. Anal. Appl 364, 88–103 (2010)

Calabuig J.M., Juan M.A., Sánchez Pérez E.A.: Spaces of p-integrable functions with respect to a vector measure defined on a $${\delta}$$ δ -ring. Operators Matrices 6, 241–262 (2012)

del Campo R., Fernández A., Galdames O., Mayoral F., Naranjo F.: Complex interpolation of operators and optimal domains. Integr. Equ. Oper. Theory 80, 229–238 (2014)

Delgado O.: L 1-spaces of vector measures defined on $${\delta}$$ δ -rings. Arch. Math. 84, 432–443 (2005)

Delgado O.: Optimal domains for kernel operators on $${[0,\infty)\times[0,\infty)}$$ [ 0 , ∞ ) × [ 0 , ∞ ) . Studia Math. 174, 131–145 (2006)

Diestel, J., Uhl Jr, J.J.: Vector measures. Math. Surveys, vol. 15. American Mathematical Society, Providence (1977)

Galdames Bravo O.: On the norm with respect to vector measures of the solution of an infinite system of ordinary differential equations. Mediterr. J. Math. 12, 939–956 (2015)

Galdames Bravo O.: Generalized Köthe p-dual spaces. Bull. Belg. Math. Soc. Simon Stevin 21, 275–289 (2014)

Galdames Bravo O., Sánchez Pérez E.A.: Optimal range theorems for operators with p-th power factorable adjoints. Banach J. Math. Anal. 6, 61–73 (2012)

Galdames Bravo O., Sánchez Pérez E.A.: Factorizing kernel operators. Integr. Equ. Oper. Theory 75, 13–29 (2013)

Kalton, N.J., Peck, N.T., Roberts, J.W.: An F-space Sampler. London Math. Soc. Lecture Notes, vol. 89. Cambridge University Press, Cambridge (1985)

Lewis D.R: On integrability and summability in vector spaces. Ill. J. Math. 16, 294–307 (1972)

Lindenstrauss, J., Tzafriri, L.: Classical Banach Spaces, vol.II. Springer, Berlin (1979)

Masani P.R., Niemi H.: The integration theory of Banach space valued measures and the Tonelli-Fubini theorems. I. Scalar-valued measures on $${\delta}$$ δ -rings. Adv. Math. 73, 204–241 (1989)

Masani P.R., Niemi H.: The integration theory of Banach space valued measures and the Tonelli-Fubini theorems. II. Pettis integration. Adv. Math. 75, 121–167 (1989)

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)

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