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Estimation of the position of intermediate spaces for a Banach couple

Evgenii Pustylnik — 1993

Studia Mathematica

The position of intermediate spaces for a Banach couple is estimated with the help of its fundamental function and co-function. We study the completeness of the collection of all such functions, and the methods of calculating and estimating them for different couples. Finally, these functions are used to compare the position of spaces obtained under the action of some interpolation functors.

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