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We prove an inequality for the geometric mean of accretive operators,
where the geometric mean was brought in by Drury [Linear Multilinear Algebra. 2015;63:296–301]. The proof makes use of a result of Mathias [SIAM J. Matrix Anal. Appl. 1992;13:640–654]. This inequality is then used to clarify several plausible assertions.
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No potential conflict of interest was reported by the authors.
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