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T. Yoshino, “A Modified Heinz’s Inequality,” Linear Algebra and its Applications, Vol. 420, No. 2-3, 2007, pp. 686-699. http://dx.doi.org/10.1016/j.laa.2006.08.031

has been cited by the following article:

• TITLE: The Modified Heinz’s Inequality

  AUTHORS: Takashi Yoshino

  KEYWORDS: Heinz’s Inequality

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.1 No.5, October 23, 2013

  ABSTRACT: In my paper [1], we aimed to determine the best possible range of r such that the modified Heinz’s inequality holds for any bounded linear operators Aand Bon a Hilbert space Hsuch as and for any given aand bsuch as a>0and 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.