Biblioteca de la Universidad Complutense de Madrid

On a Theorem by Lions and Peetre about Interpolation between a Banach Space and its Dual

Impacto



Cobos, Fernando y Schonbek, Tomas (1998) On a Theorem by Lions and Peetre about Interpolation between a Banach Space and its Dual. Houston Journal of Mathematics, 24 (2). pp. 325-344. ISSN 0362-1588

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Resumen

We show that if the duality between a Banach space A and
its anti-dual A* is given by the inner product of a Hilbert space H, then (A, A*)1/2,2 = H = (A,A*)[l,2~, provided A satisfies certain mild conditions. We do not assume A is reflexive. Applications are given to normed ideals of operators.


Tipo de documento:Artículo
Palabras clave:Banach space; Hilbert space
Materias:Ciencias > Matemáticas > Análisis numérico
Código ID:15303
Depositado:22 May 2012 09:43
Última Modificación:06 Feb 2014 10:21

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