Mastylo, M.; Sánchez Pérez, EA. (2013). Domination and Factorization of Multilinear Operators. Journal of Convex Analysis. 20(4):999-1012. http://hdl.handle.net/10251/48941
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/48941
Title:
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Domination and Factorization of Multilinear Operators
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Author:
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Mastylo, Mieczyslaw
Sánchez Pérez, Enrique Alfonso
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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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[EN] We study multilinear operators from quasi-Banach lattices to quasi-Banach spaces. We prove
that certain vector valued norm inequalities for these operators are equivalent to domination
theorems. As an application ...[+]
[EN] We study multilinear operators from quasi-Banach lattices to quasi-Banach spaces. We prove
that certain vector valued norm inequalities for these operators are equivalent to domination
theorems. As an application we show that under some mild assumptions these domination
theorems can be expressed in terms of factorization through Orlicz spaces. In the case of the
multilinear functionals on C(K)-spaces we recover a multilinear variant of the Grothendieck
factorization theorem.
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Subjects:
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Factorization
,
Banach function lattice
,
Banach envelope
,
Orlicz space
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Copyrigths:
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Cerrado |
Source:
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Journal of Convex Analysis. (issn:
0944-6532
) (eissn:
2363-6394
)
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Publisher:
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Heldermann Verlag
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Project ID:
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info:eu-repo/grantAgreement/MINECO//MTM2012-36740-C02-02/ES/Operadores multilineales, espacios de funciones integrables y aplicaciones/
info:eu-repo/grantAgreement/NCN//2011%2F01%2FB%2FST1%2F06243/
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Thanks:
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The first named author was supported by the National Science Centre (NCN), Poland, grant no. 2011/01/B/ST1/06243.
The second named author was supported by the Ministerio de Econom´ıa y Competitividad under grant ...[+]
The first named author was supported by the National Science Centre (NCN), Poland, grant no. 2011/01/B/ST1/06243.
The second named author was supported by the Ministerio de Econom´ıa y Competitividad under grant #MTM2012-36740-C02-02.
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Type:
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Artículo
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