Quang Dieu Nguyen
Peter de Paepe
- Function algebras on disks
- Document type
- Working paper
- Faculty of Science (FNWI)
- Korteweg-de Vries Institute for Mathematics (KdVI)
- For a small closed disk $D$ in the complexplane the uniform closure $A$ in $C(D)$ of thepolynomials in $z^2$ and a second function of the form $f^2$, with $f$ behaving as $\bar z$, is considered. It has been shown before, using theory of polynomial convexity, that $A \ne C(D)$ for some choices of $f$, while for other choices of $f$ the situation $A=C(D)$ can occur. A new class of functions $f$ is presented for which $A=C(D)$.
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