Real Interpolation of Banach Spaces

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1996 English Publisher:Springer Basel

Authors: Werner O. Amrein; Anne Boutet Monvel; Vladimir Georgescu;

doi: 10.1007/978-3-0348-0733-3_2 , 10.1007/978-3-0348-7762-6_2

Real Interpolation of Banach Spaces

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Abstract

In this chapter we present some results of the theory of interpolation in Banach spaces. We limit our considerations to those parts of the theory that will be useful further on in this text. In particular we develop the interpolation theory for a pair of Banach spaces E, F only under the assumption that E is continuously embedded into F. The case of an arbitrary compatible couple does not demand any new idea; for a detailed treatment of the general theory, see [BB], [BK], [BL], [BS], [KPS], [Tr]. The results described below are essentially due to N. Aronszjan, E. Gagliardo, J.-L. Lions and J. Peetre.

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Institut de Mathématiques de Jussieu
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