Locally compact semi-algebras generated by a commuting operator family
Conditions are provided for the local compactness of the closed semi-algebra generated by a finite collection of commuting bounded linear operators with equibounded iterates in terms of their joint spectral properties.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117129400102X |
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| _version_ | 1832559824056877056 |
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| author | N. R. Nandakumar Cornelis V. Vandermee |
| author_facet | N. R. Nandakumar Cornelis V. Vandermee |
| author_sort | N. R. Nandakumar |
| collection | DOAJ |
| description | Conditions are provided for the local compactness of the closed semi-algebra generated by a finite collection of commuting bounded linear operators with equibounded iterates in terms of their joint spectral properties. |
| format | Article |
| id | doaj-art-472c380fece7409da539d0a3ecd476d4 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-472c380fece7409da539d0a3ecd476d42025-02-03T01:29:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117471772410.1155/S016117129400102XLocally compact semi-algebras generated by a commuting operator familyN. R. Nandakumar0Cornelis V. Vandermee1Department of Mathematics, Delaware State University, Dover 19901, DE, USADepartment of Physics & Astronomy, Free University, Amsterdam, The NetherlandsConditions are provided for the local compactness of the closed semi-algebra generated by a finite collection of commuting bounded linear operators with equibounded iterates in terms of their joint spectral properties.http://dx.doi.org/10.1155/S016117129400102Xsemi-algebralocally compactRadon-Nikoloskii operator. |
| spellingShingle | N. R. Nandakumar Cornelis V. Vandermee Locally compact semi-algebras generated by a commuting operator family International Journal of Mathematics and Mathematical Sciences semi-algebra locally compact Radon-Nikoloskii operator. |
| title | Locally compact semi-algebras generated by a commuting operator family |
| title_full | Locally compact semi-algebras generated by a commuting operator family |
| title_fullStr | Locally compact semi-algebras generated by a commuting operator family |
| title_full_unstemmed | Locally compact semi-algebras generated by a commuting operator family |
| title_short | Locally compact semi-algebras generated by a commuting operator family |
| title_sort | locally compact semi algebras generated by a commuting operator family |
| topic | semi-algebra locally compact Radon-Nikoloskii operator. |
| url | http://dx.doi.org/10.1155/S016117129400102X |
| work_keys_str_mv | AT nrnandakumar locallycompactsemialgebrasgeneratedbyacommutingoperatorfamily AT cornelisvvandermee locallycompactsemialgebrasgeneratedbyacommutingoperatorfamily |