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Operator Aczél inequality
Authors:Mohammad Sal Moslehian
Institution:Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad 91775, Iran
Abstract:We establish several operator versions of the classical Aczél inequality. One of operator versions deals with the weighted operator geometric mean and another is related to the positive sesquilinear forms. Some applications including the unital positive linear maps on C*-algebras and the unitarily invariant norms on matrices are presented.
Keywords:Primary: 47A63  Secondary: 15A60  46L05  26D15
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