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Lions-Peetre type compactness results for several Banach spaces


Cobos, Fernando y Romero, Raúl (2004) Lions-Peetre type compactness results for several Banach spaces. Mathematical Inequalities & Applications, 7 (4). pp. 557-571. ISSN 1331-4343

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Working with interpolation methods associated to polygons, a result of Cobos and Peetre guarantees that the interpolated operator is compact provided all but two restrictions of the operator (located in adjacent vertices) are compact. We characterize here those intermediate spaces that satisfy the conclusion of Cobos-Peetre result for all operators. We also establish some results on rank-one interpolation spaces.

Tipo de documento:Artículo
Palabras clave: Interpolation Methods; Operators; Noncompactness; Polygons; Real; Interpolation methods associated to polygons; compactness of interpolated operators; rank-one interpolation spaces; Mathematics
Materias:Ciencias > Matemáticas > Análisis numérico
Código ID:15057

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