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Abstract
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International Journal of Mathematics and Mathematical Sciences 
Volume 2004 (2004), Issue 53, Pages 2821-2834
doi:10.1155/S0161171204311312

On the Putnam-Fuglede theorem

Yin Chen

Department of Mathematical Sciences, Lakehead University, Thunder Bay P7B 5E1, ON, Canada

Received 25 November 2003

Abstract

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.