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.