Some conditions on Douglas algebras that imply the invariance of the minimal envelope map
We give general conditions on certain families of Douglas algebras that imply that the minimal envelope of the given algebra is the algebra itself. We also prove that the minimal envelope of the intersection of two Douglas algebras is the intersection of their minimal envelope.
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201004148 |
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| _version_ | 1849410896322887680 |
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| author | Carroll Guillory |
| author_facet | Carroll Guillory |
| author_sort | Carroll Guillory |
| collection | DOAJ |
| description | We give general conditions on certain families of Douglas algebras that imply that the minimal envelope of the given algebra is the algebra itself. We also prove that the minimal envelope of the intersection of two Douglas algebras is the intersection of their
minimal envelope. |
| format | Article |
| id | doaj-art-5aa47f7e24c14a8a90eeafa9afcc6ceb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5aa47f7e24c14a8a90eeafa9afcc6ceb2025-08-20T03:34:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01261061562410.1155/S0161171201004148Some conditions on Douglas algebras that imply the invariance of the minimal envelope mapCarroll Guillory0Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504, USAWe give general conditions on certain families of Douglas algebras that imply that the minimal envelope of the given algebra is the algebra itself. We also prove that the minimal envelope of the intersection of two Douglas algebras is the intersection of their minimal envelope.http://dx.doi.org/10.1155/S0161171201004148 |
| spellingShingle | Carroll Guillory Some conditions on Douglas algebras that imply the invariance of the minimal envelope map International Journal of Mathematics and Mathematical Sciences |
| title | Some conditions on Douglas algebras that imply the invariance of the minimal envelope map |
| title_full | Some conditions on Douglas algebras that imply the invariance of the minimal envelope map |
| title_fullStr | Some conditions on Douglas algebras that imply the invariance of the minimal envelope map |
| title_full_unstemmed | Some conditions on Douglas algebras that imply the invariance of the minimal envelope map |
| title_short | Some conditions on Douglas algebras that imply the invariance of the minimal envelope map |
| title_sort | some conditions on douglas algebras that imply the invariance of the minimal envelope map |
| url | http://dx.doi.org/10.1155/S0161171201004148 |
| work_keys_str_mv | AT carrollguillory someconditionsondouglasalgebrasthatimplytheinvarianceoftheminimalenvelopemap |