Displaying similar documents to “Intermediate spaces and the complex method of interpolation for families of Banach spaces”

Real interpolation for families of Banach spaces

Maria Carro (1994)

Studia Mathematica

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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.

On the unit-1-stable rank of rings of analytic functions.

María Jesús Carro, Joan Cerdà (1992)

Publicacions Matemàtiques

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We identify the intermediate space of a complex interpolation family -in the sense of Coifman, Cwikel, Rochberg, Sagher and Weiss- of L spaces with change of measure, for the complex interpolation method associated to any analytic functional.

On equivalence of K- and J-methods for (n+1)-tuples of Banach spaces

Irina Asekritova, Natan Krugljak (1997)

Studia Mathematica

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It is shown that the main results of the theory of real interpolation, i.e. the equivalence and reiteration theorems, can be extended from couples to a class of (n+1)-tuples of Banach spaces, which includes (n+1)-tuples of Banach function lattices, Sobolev and Besov spaces. As an application of our results, it is shown that Lions' problem on interpolation of subspaces and Semenov's problem on interpolation of subcouples have positive solutions when all spaces are Banach function lattices...

Complex interpolation functors with a family of quasi-power function parameters

Ming Fan (1994)

Studia Mathematica

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For the complex interpolation functors associated with derivatives of analytic functions, the Calderón fundamental inequality is formulated in both additive and multiplicative forms; discretization, reiteration, the Calderón-Lozanovskiĭ construction for Banach lattices, and the Aronszajn-Gagliardo construction concerning minimality and maximality are presented. These more general complex interpolation functors are closely connected with the real and other interpolation functors via function...