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Non-Linear Interpolation of the Harmonic–Geometric–Arithmetic Matrix Means


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Resumo

Bhatia, Lim, and Yamazaki conjectured that the Kubo–Ando extensions of means of numbers satisfy a norm minimality condition with respect to unitarily invariant norms. In this short note, we introduce a symmetric Kubo–Ando mean and a non-Kubo–Ando extension that do not satisfy this property.

Sobre autores

Trung Dinh

Department of Mathematics

Autor responsável pela correspondência
Email: thdinh@troy.edu
Estados Unidos da América, Troy, AL, 36082

Raluca Dumitru

Department of Mathematics and Statistics

Autor responsável pela correspondência
Email: raluca.dumitru@unf.edu
Estados Unidos da América, Jacksonville, FL, 32224

Jose Franco

Department of Mathematics and Statistics

Autor responsável pela correspondência
Email: jose.franco@unf.edu
Estados Unidos da América, Jacksonville, FL, 32224

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