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.

Saved in:
Bibliographic Details
Main Author: Yin Chen
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171204311312
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832549837025837056
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