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The Modified Heinz’s Inequality

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DOI: 10.4236/jamp.2013.15010    3,068 Downloads   4,934 Views
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ABSTRACT


In my paper [1], we aimed to determine the best possible range of r such that the modified Heinzs inequality holds for any bounded linear operators A and B on a Hilbert space H such as and for any given a and b such as a>0 and b>0. But the counter-examples prepared in [1] and also in [2] were not sufficient and, in this paper, we shall constitute the sufficient counter-examples which will satisfy all the lacking parts.


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Yoshino, T. (2013) The Modified Heinz’s Inequality. Journal of Applied Mathematics and Physics, 1, 65-70. doi: 10.4236/jamp.2013.15010.

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