On a Subspace Related to the Korovkin Closure
نویسنده
چکیده
Let L be a closed subspace of C(X) which separates points and contains the constants. Denote the Korovkin closure of L by L̂. Then L = L̂ ∩ ML where ML = {f ∈ C(X) : ∫ f d(μ ◦ j) = 0 for all boundary dependences μ on KL}. We consider the relation between L and ML, the Choquet boundary of ML and the state space of ML. 1980 AMS Mathematics Subject Classification (1985 Revision): Primary 47B38, 47B55; Secondary 41A36. Abbreviated Title. Subspace related to Korovkin Closure
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