Fréchet Algebras Generated by Certain of their Elements

S. Ouzomgi; L. Redlin; S. Watson

doi:10.1155/S0161171295000627

Fréchet Algebras Generated by Certain of their Elements

S. Ouzomgi
, L. Redlin
, S. Watson

Penn State Abington

Research output: Contribution to journal › Article › peer-review

Abstract

We consider F-algebras A that are generated by elements of the form z, (z – λ₁e)^-1⋯, (z – λ_Ne)^-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 language	English (US)
Pages (from-to)	489-495
Number of pages	7
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	18
Issue number	3
DOIs	https://doi.org/10.1155/S0161171295000627
State	Published - 1995

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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10.1155/S0161171295000627

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title = "Fr{\'e}chet Algebras Generated by Certain of their Elements",

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.",

author = "S. Ouzomgi and L. Redlin and S. Watson",

year = "1995",

doi = "10.1155/S0161171295000627",

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AU - Ouzomgi, S.

AU - Redlin, L.

AU - Watson, S.

PY - 1995

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N2 - 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.

AB - 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.

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JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

IS - 3

ER -

Fréchet Algebras Generated by Certain of their Elements

Abstract

All Science Journal Classification (ASJC) codes

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