Synopsis
Excerpt from On Generators of the Banach Algebra L1 (O, Oo) And Related Questions
The last clause in (i), that F(oo) 0, follows from.the Golfand theory, and the identification of the maximal ideal space with'fi Alternatively, F(z) is bounded in y'g-o and lim F(x) O by the riemann-lebesgue theorem, hence lim. F(z) O uniformly in y'z O by a phragmén-lindelbf theorem;. Tag - Egger assertions of are evident.
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