A polynomial on Rn is a function of the form where the aj1,. . . . .
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where the aj1,. . . . . .. j n 's are scalars and N1,...,Nn N. Prove that if A is compact in Rn and f C(A), then there is a sequence of polynomials Pk on Rn such that Pk f uniformly on A as k: .
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Clearly the collection P of polynomials on R n is an algebra in CA that ...View the full answer
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