Biblioteca de la Universidad Complutense de Madrid

A Duality Theorem for Interpolation Methods Associated to Polygons

Impacto

Cobos, Fernando y Fernández-Martínez, Pedro (1994) A Duality Theorem for Interpolation Methods Associated to Polygons. Proceedings of the American Mathematical Society, 121 (4). pp. 1093-1101. ISSN 1088-6826

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URL Oficial: http://www.ams.org/journals/proc/1994-121-04/S0002-9939-1994-1209420-6/S0002-9939-1994-1209420-6.pdf




Resumen

We investigate dual spaces of interpolation spaces defined by means of polygons. We first show that dual spaces may fail to be intermediate spaces with respect to the dual N-tuple, and then we prove that dual spaces of J-spaces can be identified with closed subspaces of K-spaces generated by the dual N-tuple.


Tipo de documento:Artículo
Palabras clave:Dual spaces of interpolation spaces defined by means of polygons; J- spaces; K-spaces
Materias:Ciencias > Matemáticas > Análisis numérico
Código ID:15341
Referencias:

J. Bergh and J. Löfström, Interpolation spaces. An introduction, Springer, Berlin, Heidelberg,and New York, 1976.

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F. Cobos, P. Fernandez-Martinez, and T. Schonbek, Norm estimates for interpolation methods defined by means of polygons, J. Approx. Theory (to appear).

F. Cobos, T. Kühn, and T. Schonbek, One-sided compactness results for Aronszajn-Gagliardo

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D. L. Fernandez, Interpolation of 2" Banach spaces, Studia Math. 45 (1979), 175-201.

_, On the duality of interpolation spaces of several Banach spaces, Acta Sei. Math.(Szeged) 44 (1982), 43-51.

_, Interpolation of 2d Banach spaces and the Calderón space X(E), Proc. London Math. Soc. 56 (1988), 143-162.

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G. Sparr, Interpolation of several Banach spaces, Ann. Mat. Pura Appl. 99 (1974), 247-316.

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Última Modificación:06 Feb 2014 10:22

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