We develop a new method of real interpolation for infinite families of Banach spaces that covers the methods of Lions-Peetre, Sparr for N spaces, Fernández for $2^N$ spaces and the recent method of Cobos-Peetre.
Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona 08071, Barcelona, Spain.
Bibliografia
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[CCRSW] R. R. Coifman, M. Cwikel, R. Rochberg, Y. Sagher and G. Weiss, A theory of complex interpolation for families of Banach spaces, Adv. in Math. 43 (1982), 203-229.
[CJ] M. Cwikel and S. Janson, Real and complex interpolation methods for finite and infinite families of Banach spaces, ibid. 66 (1987), 234-290.
[F] D. L. Fernández, Interpolation of $2^d$ Banach spaces and the Calderón spaces X(E), Proc. London Math. Soc. (3) 56 (1988), 143-162.
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[LP] J. L. Lions et J. Peetre, Sur une classe d'espaces d'interpolation, Inst. Hautes Études Sci. Publ. Math. 19 (1964), 5-68.
[M] M. Mastyło, The K-functional for a Banach couple $(Ᾱ∂_E_0;K, Ᾱ∂_E_1;K)$, Comment. Math. 25 (1985), 93-108.
[P] J. Peetre, A theory of interpolation of normed spaces, Lecture notes, Brasilia (Notas de matemática 39, 1968) (1963), 1-86.
[S] G. Sparr, Interpolation of several Banach spaces, Ann. Mat. Pura Appl. 99 (1974), 247-316.
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bwmeta1.element.bwnjournal-article-smv109i1p1bwm
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