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The Fuglede-Putnam theorem for-quasihyponormal operators

Abstract

We show that if is a-quasihyponormal operator and is a-hyponormal operator, and if, where is a quasiaffinity (i.e., a one-one map having dense range), then is a normal and moreover is unitarily equivalent to.

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Correspondence to In Hyoun Kim.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Kim, I.H. The Fuglede-Putnam theorem for-quasihyponormal operators. J Inequal Appl 2006, 47481 (2006). https://doi.org/10.1155/JIA/2006/47481

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