文章基本信息
- 标题：A characterization of the algebra of holomorphic functions on a simply connected domain
- 本地全文：下载
- 作者：Derming Wang ; Saleem Watson
- 期刊名称：International Journal of Mathematics and Mathematical Sciences
- 印刷版ISSN：0161-1712
- 电子版ISSN：1687-0425
- 出版年度：1989
- 卷号：12
- 期号：1
- 页码：65-68
- DOI：10.1155/S0161171289000086
- 出版社：Hindawi Publishing Corporation
- 摘要：
Let A be a singly-generated ℱ-algebra. It is shown that A isomorphic to H(Ω) where Ω is a simply connected domain in ℂ if and only if A has no topological divisors of zero. It follows from this that there are exactly three ℱ-algebras (up to isomorphism) which are singly generated and have no topological divisors of zero.
