A Maximum Modulus Property of Maximal Subalgebras

  title={A Maximum Modulus Property of Maximal Subalgebras},
  author={PAUL CIVIN},
  • Published 2010
In a recent paper [6] Wermer considered the algebra C of all continuous complex valued functions on y, a simple closed analytic curve bounding a region T, with TKJy compact, on a Riemann surface F. He considered the subalgebra A of all functions in C which could be extended into V to be analytic on Y and continuous on TVJy. Wermer showed that A was a maximal closed subalgebra of C which separated the points of y, and that the space of maximal ideals of A was homeomorphic to TVJy. In [2] Civin… CONTINUE READING