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A STONE-WEIERSTRASS THEOREM FOR CERTAIN DISCONTINUOUS FUNCTIONS

     

摘要

La Abe point separating uiatal subalgebra. of C(T) where T is a compact metric space. For each bounded function f:T which is continuous on the complement of a meagre subset of T there exists a sequence (wn) of elements of the algebra A such that the sequence (w) converges uniformly to the function f on each compact subset of the interior of the continuity points of the function f.

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