Polynomially convex hulls of graphs on the sphere
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- by Toshiya Jimbo and Akira Sakai PDF
- Proc. Amer. Math. Soc. 127 (1999), 2697-2702 Request permission
Abstract:
Let $\Sigma$ be the graph of a continuous map of the unit sphere of $\mathbb C^n$ into $\mathbb C^m$, and $h(\Sigma )$ the polynomially convex hull of $\Sigma$. Several examples of $h(\Sigma )$ for $n=m>1$ are given, which have different properties from the known ones for $n>m$.References
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Additional Information
- Toshiya Jimbo
- Affiliation: Department of Mathematics, Nara University of Education, Takabatake, Nara 630-8528, Japan
- Email: jimbo@nara-edu.ac.jp
- Akira Sakai
- Affiliation: Yamadanishi 2-9,A3-612 Suita, Osaka 565-0824, Japan
- Email: CXH02215@niftyserve.or.jp
- Received by editor(s): November 20, 1997
- Published electronically: April 15, 1999
- Communicated by: Theodore W. Gamelin
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 2697-2702
- MSC (1991): Primary 32E20
- DOI: https://doi.org/10.1090/S0002-9939-99-04922-9
- MathSciNet review: 1610917