Fréchet algebras generated by certain of their elements
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 topclogical divisors of zero we show that A is isomorphic to H(Ω), where Ω is finitely connected region. We also study F-algebras in which {e,z,z−1,z2,z−2,…} is basis....
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000627 |
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| Summary: | 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 topclogical divisors of zero we show that A is
isomorphic to H(Ω), where Ω is finitely connected region. We also study F-algebras in which
{e,z,z−1,z2,z−2,…} is basis. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |