A property of the geometric mean of accretive operators

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 sever...

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Bibliographic Details
Published in:Linear & multilinear algebra 2017-03, Vol.65 (3), p.433-437
Main Authors: Lin, Minghua, Sun, Fangfang
Format: Article
Language:English
Subjects:
Accretive operators
Algebra
geometric mean
Inequalities
Operators (mathematics)
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Summary: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.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2016.1188878