A Note on Kantorovich and Ando Inequalities

The main goal of this exposition is to present further analysis of the Kantorovich and Ando operator inequalities. In particular, a new proof of Ando's inequality is given, a new non-trivial refinement of Kantorovich inequality is shown, and some equivalent forms of Kantorovich inequality are p...

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Hauptverfasser: Sababheh, Mohammad, Moradi, Hamid Reza, Gümüş, Ibrahim Halil, Furuichi, Shigeru
Format: Artikel
Sprache:eng
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Zusammenfassung:The main goal of this exposition is to present further analysis of the Kantorovich and Ando operator inequalities. In particular, a new proof of Ando's inequality is given, a new non-trivial refinement of Kantorovich inequality is shown, and some equivalent forms of Kantorovich inequality are presented with a Minkowski-type application.
DOI:10.48550/arxiv.1911.12915