International Journal of Functional Analysis, Operator Theory and Applications
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Abstract: In [1], we aimed to determine the range of gsuch that the operator
inequality holds
for any bounded linear operators Aand Bon a Hilbert space such
as (someand for any given aand bsuch as and But the counter-examples prepared in
[1] are not sufficient and, in this paper, we shall constitute another
counter-examples which will fill the lacking part.