2012/80/3-4 (16) — DOI: 10.5486/PMD.2012.5193 — pp. 465-478
Full Text Abstract

Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators

Authors: Fuad Kittaneh, Mario Krnić, Neda Lovričević and Josip Pečarić

Keywords: Hilbert space, positive invertible operator, arithmetic operator mean, geometric operator mean, Heinz operator mean, superadditivity, monotonicity, refinement, converse

Mathematics Subject Classification: 47A63, 26D15, 26D10, 26E60