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Extensions of the results on ρ-hyponormal and log-hyponormal operators by Aluthge and Wang

Takeaki Yamazaki

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Source: Crossref

Published: Jan 1, 1999

DOI: 10.55937/sut/991985378

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Source abstract

Aluthge and Wang [4] showed that “if T is p-hyponormal then Tn is (pn)-hyponormal for p∈(0,1]”. Firstly we obtain precise estimation of this result. Secondly we show that “if T is log-hyponormal then Tn is log-hyponormal” and this result is an extension of Theorem B by Aluthge and Wang [3].

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Extensions of the results on ρ-hyponormal and log-hyponormal operators by Aluthge and Wang — Mathematical Frontier Network