Gaps of operators |
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Authors: | Il Bong Jung Pil Sang Lim |
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Affiliation: | Department of Mathematics, College of Natural Sciences, Kyungpook National University, Daegu 702-701, South Korea |
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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. |
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Keywords: | p-hyponormal operator w-hyponormal &infin -hyponormal Absolute-p-paranormal Normaloid |
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