Fréchet Algebras Generated by Certain of their Elements

Samir Ouzomgi, L. Redlin, S. Watson

Research output: Contribution to journalArticle

Abstract

We consider F-algebras A that are generated by elements of the form z, (z – λ 1 e) -1 ⋯, (z – λ N e) -1 , where e is the identity. If A has no topological divisors of zero we show that A is isomorphic to H(Ω), where Ω is a finitely connected region. We also study F-algebras in which {e, z, z -1 , z 2 , z -2 ,…} is a basis.

Original languageEnglish (US)
Pages (from-to)489-495
Number of pages7
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume18
Issue number3
DOIs
StatePublished - Jan 1 1995

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F-algebra
Algebra
Divisor
Isomorphic
Zero
Form

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

Cite this

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Fréchet Algebras Generated by Certain of their Elements. / Ouzomgi, Samir; Redlin, L.; Watson, S.

In: International Journal of Mathematics and Mathematical Sciences, Vol. 18, No. 3, 01.01.1995, p. 489-495.

Research output: Contribution to journalArticle

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AU - Ouzomgi, Samir

AU - Redlin, L.

AU - Watson, S.

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