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Some Inequalities for the Class of Hyponormal Operators |
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PP: 33-37 |
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doi:10.18576/jant/060106
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Author(s) |
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MOHAMMED Shehu Shagari,
IBRAHIM Aliyu Fulatan,
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Abstract |
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| : This work studies some characterizations of hyponormal operators. It presents certain operator inequalities by using a modified Aluthge transform e T given as |T| k 2m U |T| k 2m , for k ≤ m, where k,m are natural numbers and U is a partial isometry. Under certain assumptions, together with the properties of the operator U, the paper concludes that the transform e T is hyponormal, phyponormal,p+ k 2m-hyponormal, andp+q p+n-hyponormal given that p,q are positive reals |
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