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Solving the Gleason problem on linearly convex domains
Authors:Oscar Lemmers  Jan Wiegerinck
Institution:(1) Department of mathematics, University of Amsterdam, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands (e-mail: {lemmers, janwieg}@science.uva.nl) , NL
Abstract:Let be a bounded, connected linearly convex set in with boundary. We show that the maximal ideal (both in ) and ) consisting of all functions vanishing at is generated by the coordinate functions . Received: 2 July 2001; in final form: 26 September 2001 / Published online: 28 February 2002
Keywords:Mathematics Subject Classification (2000): 32A38  32F17
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