Proceedings of the American Mathematical Society

Author(s): John T. Anderson; Alexander J. Izzo; John Wermer
Journal: Proc. Amer. Math. Soc. 132 (2004), 1495-1500.
MSC (2000): Primary 32E30; Secondary 46J10
Posted: November 14, 2003
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Abstract: We prove: Let $\Sigma$ be a compact real-analytic variety in $\mathbf{C}^n$ . Assume (i) $\Sigma$ is polynomially convex and (ii) every point of $\Sigma$ is a peak point for $P(\Sigma)$ . Then $P(\Sigma) = C(\Sigma)$ . This generalizes a previous result of the authors on polynomial approximation on three-dimensional real-analytic submanifolds of $\mathbf{C}^n$ .

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 32E30, 46J10

John T. Anderson
Affiliation: Department of Mathematics and Computer Science, College of the Holy Cross, Worcester, Massachusetts 01610-2395
Email: anderson@mathcs.holycross.edu

Alexander J. Izzo
Affiliation: Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, Ohio 43403
Address at time of publication: Department of Mathematics, Brown University, Providence, RI 02912
Email: aizzo@math.bgsu.edu, aizzo@math.brown.edu

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