Open Access
2015 Advances in Operator Cauchy--Schwarz inequalities and their reverses
J. M. Aldaz, S. Barza, M. Fujii, M. S. Moslehian
Ann. Funct. Anal. 6(3): 275-295 (2015). DOI: 10.15352/afa/06-3-20
Abstract

The Cauchy-Schwarz (C-S) inequality is one of the most famous inequalities in mathematics. In this survey article, we first give a brief history of the inequality. Afterward, we present the C-S inequality for inner product spaces. Focusing on operator inequalities, we then review some significant recent developments of the C-S inequality and its reverses for Hilbert space operators and elements of Hilbert $C^*$-modules. In particular, we pay special attention to an operator Wielandt inequality.

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Copyright © 2015 Tusi Mathematical Research Group
J. M. Aldaz, S. Barza, M. Fujii, and M. S. Moslehian "Advances in Operator Cauchy--Schwarz inequalities and their reverses," Annals of Functional Analysis 6(3), 275-295, (2015). https://doi.org/10.15352/afa/06-3-20
Published: 2015
Vol.6 • No. 3 • 2015
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