Palazuelos, C.; Sánchez Pérez, EA.; Tradacete Pérez, P. (2012). Maurey-Rosenthal factorization for p-Summing operators and Dodds-Fremlin domination. Journal of Operator Theory. 68(1):205-222. http://hdl.handle.net/10251/56997
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/56997
Title:
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Maurey-Rosenthal factorization for p-Summing operators and Dodds-Fremlin domination
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Author:
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Palazuelos, Carlos
Sánchez Pérez, Enrique Alfonso
Tradacete Pérez, Pedro
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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We characterize by means of a vector norm inequality the space of operators that factorize through a p-summing operator from anLr-space to an Ls-space. As an application, we prove a domination result in the sense of ...[+]
We characterize by means of a vector norm inequality the space of operators that factorize through a p-summing operator from anLr-space to an Ls-space. As an application, we prove a domination result in the sense of Dodds-Fremlin for p-summing operators on Banach lattices with cotype 2, showing moreover that this cannot hold in general for spaces with higher cotype. We also present a new characterization of Banach lattices satisfying a lower 2-estimate in terms of the order properties of 2-summing operators. © by THETA, 2012.
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Subjects:
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Banach lattice
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Dodds-Fremlin domination.
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Factorization
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P-summing operator
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Positive operator
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Copyrigths:
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Cerrado |
Source:
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Journal of Operator Theory. (issn:
0379-4024
)
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Publisher:
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THETA FOUNDATION
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Publisher version:
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http://www.theta.ro/jot.html
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Project ID:
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info:eu-repo/grantAgreement/MICINN//MTM2009-14483-C02-02/ES/Integracion Bilineal, Medidas Vectoriales Y Espacios De Funciones De Banach./
...[+]
info:eu-repo/grantAgreement/MICINN//MTM2009-14483-C02-02/ES/Integracion Bilineal, Medidas Vectoriales Y Espacios De Funciones De Banach./
info:eu-repo/grantAgreement/MICINN//MTM2008-02652/ES/OPERADORES, RETICULOS Y GEOMETRIA DE ESPACIOS DE BANACH/
info:eu-repo/grantAgreement/MICINN//MTM2008-01366/ES/MATEMATICAS E INFORMACION CUANTICA/
info:eu-repo/grantAgreement/GVA//PROMETEO08%2F2008%2F101/ES/Análisis funcional, teoría de operadores y aplicaciones/
info:eu-repo/grantAgreement/Fundación Banco Santander//PR34%2F07-15837/
info:eu-repo/grantAgreement/UCM//CCG08-UCM%2FESP-4394/
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Thanks:
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First author partially supported by Spanish grants MTM2008-01366, I-MATH and CCG08- UCM / ESP-4394. Second author supported by the Ministerio de Educacion y Ciencia, under project MTM2009-14483-C02-02 (Spain), and FEDER. ...[+]
First author partially supported by Spanish grants MTM2008-01366, I-MATH and CCG08- UCM / ESP-4394. Second author supported by the Ministerio de Educacion y Ciencia, under project MTM2009-14483-C02-02 (Spain), and FEDER. Third author partially supported by Spanish MICINN through Juan de la Cierva program and grant MTM2008-02652, Santander/Complutense PR34/07-15837 and Generalitat Valenciana grant Prometeo/2008/101.
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Type:
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Artículo
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