A characterization of the algebra of holomorphic functions on a simply connected domain

Derming Wang and Saleem Watson

International Journal of Mathematics and Mathematical Sciences, 1989, vol. 12, 1-4

Abstract:

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.

Date: 1989
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/12/463292.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/12/463292.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:463292

DOI: 10.1155/S0161171289000086

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().