• 대한수학회논문집
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• 제35권1호
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• pp.151-159
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• 2020

We introduce the notion of (m, n)-paranormal operators and (m, n)^⁎-paranormal operators on Hilbert space and study their properties. We also characterize these operators. Examples of operators are given which are (m, n)-paranormal but not (m, n)^⁎-paranormal, and vice-versa.