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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Wiley
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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author | Yin Chen |
author_facet | Yin Chen |
author_sort | Yin Chen |
collection | DOAJ |
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. |
format | Article |
id | doaj-art-09cf896a48f74e35a0cac8bc047fcd57 |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 2004-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Mathematics and Mathematical Sciences |
spelling | doaj-art-09cf896a48f74e35a0cac8bc047fcd572025-02-03T06:08:20ZengWileyInternational 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 |
spellingShingle | Yin Chen On the Putnam-Fuglede theorem International Journal of Mathematics and Mathematical Sciences |
title | 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_short | On the Putnam-Fuglede theorem |
title_sort | on the putnam fuglede theorem |
url | http://dx.doi.org/10.1155/S0161171204311312 |
work_keys_str_mv | AT yinchen ontheputnamfugledetheorem |