Calabuig, JM.; Rodríguez, J.; Sánchez Pérez, EA. (2017). Factorization of operators through subspaces of L-1-spaces. Journal of the Australian Mathematical Society. 103(3):313-328. https://doi.org/10.1017/S1446788716000513
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/149722
Title:
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Factorization of operators through subspaces of L-1-spaces
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Author:
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Calabuig, J. M.
Rodríguez, José
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 analyze domination properties and factorization of operators in Banach spaces through subspaces of L1-spaces. Using vector measure integration and extending classical arguments based on scalar integral bounds, we ...[+]
[EN] We analyze domination properties and factorization of operators in Banach spaces through subspaces of L1-spaces. Using vector measure integration and extending classical arguments based on scalar integral bounds, we provide characterizations of operators factoring through subspaces of L1-spaces of finite measures. Some special cases involving positivity and compactness of the operators are considered.
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Subjects:
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Banach function space
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Positive operator
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Compact operator
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Factorization
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L-1-space
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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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Journal of the Australian Mathematical Society. (issn:
1446-7887
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DOI:
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10.1017/S1446788716000513
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Publisher:
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Cambridge University Press
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Publisher version:
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https://doi.org/10.1017/S1446788716000513
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Project ID:
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Miniterio de Economia y Competitividad/MTM2014-53009-P
MINISTERIO DE ECONOMÍA Y COMPETITIVIDAD/MTM2016-77054-C2-1-P
MINECO/MTM2012-36740-C02-02
MINECO/MTM2014-54182-P
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Thanks:
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Research supported by MINECO/FEDER under projects MTM2014-53009-P (J.M Calabuig), MTM2014-54182-P (J. Rodriguez) and MTM2012-36740-C02-02 (E. A. Sanchez-Perez).
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Type:
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Artículo
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