On a conjecture of Bhatia, Lim and Yamazaki

On a conjecture of Bhatia, Lim and Yamazaki

In this short note we prove a conjecture due to Bhatia, Lim, and Yamazaki on the matrix power means. As a consequence, we obtain a related inequality for the matrix Heron mean and its non-Kubo–Ando extension, conjectured by Bhatia et al..

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Veröffentlicht in:Linear algebra and its applications 2017-11, Vol.532, p.140-145
Hauptverfasser: Dinh, Trung Hoa, Dumitru, Raluca, Franco, Jose A.
Format: Artikel
Sprache:eng
Schlagworte:
Interpolation
Kubo–Ando means
Linear algebra
Mathematical analysis
Mathematical functions
p-Schatten norms
Power means
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Zusammenfassung:In this short note we prove a conjecture due to Bhatia, Lim, and Yamazaki on the matrix power means. As a consequence, we obtain a related inequality for the matrix Heron mean and its non-Kubo–Ando extension, conjectured by Bhatia et al..
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2017.06.040