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Browsing by Author "Abu-Omar, Amer"

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    SCALAR APPROXIMANTS OF QUADRATIC OPERATORS WITH APPLICATIONS
    (2018-03-01)
    Abu-Omar, Amer
    ;
    Wu, Pei Yuan
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    應用數學系
    ;
    Department of Applied Mathematics
    Among other results, we find the best scalar approximant of a quadratic operator with respect to the numerical radius and the operator norm. We use these results to give estimates for the numerical radii of products and commutators of quadratic operators.