An extension to Fuglede-Putnam’s theorem and orthogonality
Abstract
An asymmetric Fuglede-Putnam’s theorem for w−hyponormal operators and (p,k)−quasihyponormal operator is proved. As a consequence of this result, we obtain that the range of the generalized derivation induced by the above classes of operators is orthogonal to its kernel.
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How to Cite this Article
A. Bachir, An extension to Fuglede-Putnam’s theorem and orthogonality, Adv. Inequal. Appl., 2014 (2014), Article ID 20
Copyright © 2014 A. Bachir. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.