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Proceedings of the American Mathematical Society

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Every $ n\times n$ matrix $ Z$ with real spectrum satisfies $ \Vert Z-Z\sp{\ast}\Vert \leq \Vert Z+Z\sp{\ast} \Vert(\log\sb{2}n+0.038)$


Author: W. Kahan
Journal: Proc. Amer. Math. Soc. 39 (1973), 235-241
MSC: Primary 15A60
DOI: https://doi.org/10.1090/S0002-9939-1973-0313278-3
MathSciNet review: 0313278
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Abstract: The title's inequality is proved for the operator bound-norm in a unitary space. An example is exhibited to show that the inequality cannot be improved by more than about 8


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DOI: https://doi.org/10.1090/S0002-9939-1973-0313278-3
Keywords: Matrix with real spectrum, numerical range
Article copyright: © Copyright 1973 American Mathematical Society

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