On the Putnam-Fuglede theorem
We extend the Putnam-Fuglede theorem and the second-degree Putnam-Fuglede theorem to the nonnormal operators and to an elementary operator under perturbation by quasinilpotents. Some asymptotic results are also given.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204311312 |
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doaj-09cf896a48f74e35a0cac8bc047fcd572020-11-24T22:40:00ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004532821283410.1155/S0161171204311312On the Putnam-Fuglede theoremYin Chen0Department of Mathematical Sciences, Lakehead University, Thunder Bay, ON P7B 5E1, CanadaWe extend the Putnam-Fuglede theorem and the second-degree Putnam-Fuglede theorem to the nonnormal operators and to an elementary operator under perturbation by quasinilpotents. Some asymptotic results are also given.http://dx.doi.org/10.1155/S0161171204311312 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yin Chen |
| spellingShingle |
Yin Chen On the Putnam-Fuglede theorem International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Yin Chen |
| author_sort |
Yin Chen |
| title |
On the Putnam-Fuglede theorem |
| title_short |
On the Putnam-Fuglede theorem |
| title_full |
On the Putnam-Fuglede theorem |
| title_fullStr |
On the Putnam-Fuglede theorem |
| title_full_unstemmed |
On the Putnam-Fuglede theorem |
| title_sort |
on the putnam-fuglede theorem |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2004-01-01 |
| description |
We extend the Putnam-Fuglede theorem and the second-degree Putnam-Fuglede theorem to the nonnormal operators and to an elementary operator under perturbation by quasinilpotents. Some asymptotic results are also given. |
| url |
http://dx.doi.org/10.1155/S0161171204311312 |
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AT yinchen ontheputnamfugledetheorem |
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