Abstract
Motivated by Lin and Cho's characterizations of A ≥ B ≥ C via extended grand Furuta inequality, we present two characterizations of A ≥ B ≥ C via operator mean.
Highlights
A capital letter stands for a bounded linear operator on a Hilbert space
Motived by [5], we present two characterizations of A ≥ B ≥ C via operator mean
)s (p−t)s+r hold for p, s ≥ 1, t ∈ [0, 1] and r ≥ 1
Summary
A capital letter (such as T ) stands for a bounded linear operator on a Hilbert space. T > 0 and T ≥ 0 mean T is a positive definite operator and T is a positive semidefinite operator, respectively. Furuta proved the following theorem in 1987. Furuta obtained the following grand form of Theorem 1.1.
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