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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| Format: | Article |
| Language: | English |
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Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171295000627 |
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| _version_ | 1832558684515860480 |
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| author | S. Ouzomgi L. Redlin S. Watson |
| author_facet | S. Ouzomgi L. Redlin S. Watson |
| author_sort | S. Ouzomgi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-be76c843c930451f8c965192b956d34d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-be76c843c930451f8c965192b956d34d2025-02-03T01:31:51ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118348949510.1155/S0161171295000627Fréchet algebras generated by certain of their elementsS. Ouzomgi0L. Redlin1S. Watson2Department of Mathematics, The Pennsylvania State University, Abington 19001, PA, USADepartment of Mathematics, The Pennsylvania State University, Abington 19001, PA, USADepartnent of Mathematics, California State University, Long Beach 90840, CA, USAWe 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.http://dx.doi.org/10.1155/S0161171295000627Fréchet algebrastopological divisors of zeroalgebras of holomorphic functionsRunge's theorem. |
| spellingShingle | S. Ouzomgi L. Redlin S. Watson Fréchet algebras generated by certain of their elements International Journal of Mathematics and Mathematical Sciences Fréchet algebras topological divisors of zero algebras of holomorphic functions Runge's theorem. |
| title | Fréchet algebras generated by certain of their elements |
| title_full | Fréchet algebras generated by certain of their elements |
| title_fullStr | Fréchet algebras generated by certain of their elements |
| title_full_unstemmed | Fréchet algebras generated by certain of their elements |
| title_short | Fréchet algebras generated by certain of their elements |
| title_sort | frechet algebras generated by certain of their elements |
| topic | Fréchet algebras topological divisors of zero algebras of holomorphic functions Runge's theorem. |
| url | http://dx.doi.org/10.1155/S0161171295000627 |
| work_keys_str_mv | AT souzomgi frechetalgebrasgeneratedbycertainoftheirelements AT lredlin frechetalgebrasgeneratedbycertainoftheirelements AT swatson frechetalgebrasgeneratedbycertainoftheirelements |