A Note on Kantorovich and Ando Inequalities

2019/11/29 by Sababheh, Mohammad, Moradi, Hamid Reza, Gümüş, Ibrahim Halil +1
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1911.12915

Abstract

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.

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