Operator Aczél inequality |
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Authors: | Mohammad Sal Moslehian |
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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 |
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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. |
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Keywords: | Primary: 47A63 Secondary: 15A60 46L05 26D15 |
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