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Jensen’s inequality for operators without operator convexity |
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| Authors: | Jadranka Mi?i? Zlatko Pavi? |
| Institution: | a Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Ivana Lu?i?a 5, 10000 Zagreb, Croatia b Mechanical Engineering Faculty, University of Osijek, Trg Ivane Brli? Ma?urani? 2, 35000 Slavonski Brod, Croatia c Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovi?a 30, 10000 Zagreb, Croatia |
| Abstract: | We give Jensen’s inequality for n-tuples of self-adjoint operators, unital n-tuples of positive linear mappings and real valued continuous convex functions with conditions on the bounds of the operators. We also study operator quasi-arithmetic means under the same conditions. |
| Keywords: | 47A63 47A64 |
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