ANALYTICITY IN CERTAIN BANACH ALGEBRAS

@article{Bishop1962ANALYTICITYIC,
  title={ANALYTICITY IN CERTAIN BANACH ALGEBRAS},
  author={Errett Bishop},
  journal={Transactions of the American Mathematical Society},
  year={1962},
  volume={102},
  pages={507}
}
  • E. Bishop
  • Published 1 March 1962
  • Mathematics
  • Transactions of the American Mathematical Society
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Subalgebras of functions on a Riemann surface.
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Let K be a compact set in the space C n of n complex variables. The polynomiaUy convex hull of K, written h(K), is defined to be the set of points x in C n which satisfy IP(x)l < max [P(y)I for all
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The first € price and the £ and $ price are net prices, subject to local VAT. Prices indicated with * include VAT for books; the €(D) includes 7% for Germany, the €(A) includes 10% for Austria.
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It follows that S' can uniquely be given the structure of a Riemann surface in such a way that the maps ai are all analytic. As a consequence the functions /' in 21' are all analytic on S
  • ¿£P} for all/ in 21. Since the Ui cover S there exists « with KCUn. Since g(7") giln+i)f~^giyn+i) is void we may choose m with #(g)£g(7m), where m = n, »+1, or ra+2. Thus K(ZUm. Therefore U(/)| ásup{ \f
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