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w-hyponormal operators II
Authors:Ariyadasa Aluthge  Derming Wang
Institution:(1) Department of Mathematics, Marshall University, 25755-2560 Huntington, WV, USA;(2) Department of Mathematics, California State University, Long Beach, 90840-1001 Long Beach, CA, USA
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.
Keywords:47B20  47A30  47B15
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