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w-hyponormal operators II

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Abstract

A continuation of the study of thew-hyponormal operators is presented. It is shown thatw-hyponormal operators are paranormal. Sufficient conditions which implyw-hyponormal operators are normal are given. The nonzero points of the approximate and joint approximate point spectra are shown to be identical forw-hyponormal operators. The square of an invertiblew-hyponormal operator is shown to bew-hyponormal.

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Aluthge, A., Wang, D. w-hyponormal operators II. Integr equ oper theory 37, 324–331 (2000). https://doi.org/10.1007/BF01194481

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