Sánchez Pérez, EA. (2015). Product spaces generated by bilinear maps and duality. Czechoslovak Mathematical Journal. 65(140):801-817. https://doi.org/10.1007/s10587-015-0209-y
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/77545
Title:
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Product spaces generated by bilinear maps and duality
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Author:
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Sánchez Pérez, Enrique Alfonso
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UPV Unit:
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Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Caminos, Canales y Puertos - Escola Tècnica Superior d'Enginyers de Camins, Canals i Ports
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Issued date:
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Abstract:
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In this paper we analyse a definition of a product of Banach spaces that
is naturally associated by duality with a space of operators that can be considered as
a generalization of the notion of space of multiplication ...[+]
In this paper we analyse a definition of a product of Banach spaces that
is naturally associated by duality with a space of operators that can be considered as
a generalization of the notion of space of multiplication operators. This dual relation allows
to understand several constructions coming from different fields of functional analysis that
can be seen as instances of the abstract one when a particular product is considered. Some
relevant examples and applications are shown, regarding pointwise products of Banach
function spaces, spaces of integrable functions with respect to vector measures, spaces
of operators, multipliers on Banach spaces of analytic functions and spaces of Lipschitz
functions.
[-]
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Subjects:
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Banach space
,
Product
,
Multiplication operator
,
Duality
,
Banach function
space
,
Hadamard product
,
Lipschitz map
,
Integration
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Vector measure
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Czechoslovak Mathematical Journal. (issn:
0011-4642
)
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DOI:
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10.1007/s10587-015-0209-y
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Publisher:
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Akademie věd České republiky, Matematický ústav
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Publisher version:
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http://dx.doi.org/10.1007/s10587-015-0209-y
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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/
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Thanks:
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The author acknowledges with thanks the support of the Ministerio de Economia y Competitividad (Spain) MTM2012-36740-C02-02.
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Type:
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Artículo
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