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Gaps of operators
Authors:Il Bong Jung  Pil Sang Lim
Affiliation:Department of Mathematics, College of Natural Sciences, Kyungpook National University, Daegu 702-701, South Korea
Abstract:We construct examples which distinguish clearly the classes of p-hyponormal operators for 0<p?∞. In addition, we show that those examples classify the classes of w-hyponormal, absolute-p-paranormal, and normaloid operators on the complex Hilbert space. Only a few examples of p-hyponormal operators have been examined. Our technique can provide many examples related to the above operators.
Keywords:p-hyponormal operator   w-hyponormal   &infin  -hyponormal   Absolute-p-paranormal   Normaloid
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