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Título:
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On Denjoy-Dunford and Denjoy-Pettis integrals.
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Autores:
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Gámez Merino, José Luis ;
Mendoza Casas, José
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Tipo de documento:
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texto impreso
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Editorial:
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Polish Acad Sciencies Inst Mathematics, 1998
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Análisis matemático
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Tipo = Artículo
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Resumen:
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The two main results of this paper are the following: (a) If X is a Banach space and f : [a, b] --> X is a function such that x*f is Denjoy integrable for all x* is an element of X*, then f is Denjoy-Dunford integrable, and (b) There exists a Dunford integrable function f : [a, b] --> c(0) which is not Pettis integrable on any subinterval in [a, b], while integral(J)f belongs to co for every subinterval J in [a, b]. These results provide answers to two open problems left by R. A. Gordon in [4]. Some other questions in connection with Denjoy-Dunford and Denjoy-Pettis integrals are studied.
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En línea:
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https://eprints.ucm.es/id/eprint/15426/1/02.pdf
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