Hartogs–Rosenthal Theorem



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What is Hartogs–Rosenthal theorem?

In mathematics, the Hartogs–Rosenthal theorem is a classical result in complex analysis on the uniform approximation of continuous functions on compact subsets of the complex plane by rational functions. The theorem was proved in 1931 by the German mathematicians Friedrich Hartogs and Arthur Rosenthal and has been widely applied, particularly in operator theory.

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functionmathematical relationpropositionrational functionstatementtheoremtheorems in approximation theorytheorems in complex analysistheory


Hartogs-Rosenthal theorem

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