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Interpolation
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==Generalization== If we consider <math>x</math> as a variable in a [[topological space]], and the function <math>f(x)</math> mapping to a [[Banach space]], then the problem is treated as "interpolation of operators".<ref>Colin Bennett, Robert C. Sharpley, ''Interpolation of Operators'', Academic Press 1988</ref> The classical results about interpolation of operators are the [[Riesz–Thorin theorem]] and the [[Marcinkiewicz theorem]]. There are also many other subsequent results.
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