Fréchet Algebras Generated by Certain of their Elements

S. Ouzomgi, L. Redlin, S. Watson

Research output: Contribution to journalArticlepeer-review

Abstract

We consider F-algebras A that are generated by elements of the form z, (z – λ1e)-1⋯, (z – λNe)-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, z2, 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 - 1995

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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