The simplest proof of Lieb concavity theorem |
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Authors: | Ismail Nikoufar Ali Ebadian Madjid Eshaghi Gordji |
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Institution: | 1. Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran;2. Department of Mathematics, Urmia University, Urmia, Iran;3. Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran |
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Abstract: | In this paper, by applying jointly concavity and jointly convexity of generalized perspective of some elementary functions, we give the simplest proof of the well-known Lieb concavity theorem and Ando convexity theorem. |
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Keywords: | 81P45 15A39 15A42 47A63 81R15 |
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