Displaying similar documents to “Generalizations of the uniform convergence”

Theorems of Korovkin type for adapted spaces

Heinz Bauer (1973)

Annales de l'institut Fourier

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It is shown that the methods developed in an earlier paper of the author about a Dirichlet problem for the Silov boundary [Annales Inst. Fourier, 11 (1961)] lead in a new and natural way to the most important results about the convergence of positive linear operators on spaces of continuous functions defined on a compact space. Choquet’s notion of an adapted space of continuous functions in connection with results of Mokobodzki-Sibony opens the possibility of extending these results...