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Título:
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On interpolation of bilinear operators by methods associated to polygons
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Autores:
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Cobos, Fernando ;
Cordeiro, José María ;
Martínez, Antón
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Tipo de documento:
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texto impreso
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Editorial:
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Unione matematica italiana, 1999
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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 = En prensa
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Materia = Ciencias: Matemáticas: Análisis numérico
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Tipo = Artículo
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Resumen:
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The authors investigate the behaviour of bilinear operators under interpolation by the methods associated to polygons. These methods, working with N-tuples (N _ 3) of Banach spaces instead of couples, were introduced by F. Cobos and J. Peetre [Proc. Lond. Math. Soc., III. Ser. 63, 371-400 (1991; Zbl 0727.46053)]. The main properties of methods defined by polygons are summarized and then a bilinear interpolation theorem for a combination of the K- and J-methods is established. Another bilinear interpolation theorem for the J-method is given and a counterexample shows that a similar result fails for the K-method.
The final part contains an application to interpolation of operator spaces starting from Banach lattices.
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En línea:
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https://eprints.ucm.es/id/eprint/15465/1/33.pdf
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