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On a correspondence between regular and non-regular operator monotone functions |
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| Authors: | P Gibilisco F Hansen T Isola |
| Institution: | 1. Dipartimento SEFEMEQ, Facoltà di Economia, Università di Roma “Tor Vergata”, Via Columbia 2, 00133 Rome, Italy;2. Department of Economics, University of Copenhagen, Studiestraede 6, DK-1455 Copenhagen K, Denmark;3. Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133 Rome, Italy |
| Abstract: | We prove the existence of a bijection between the regular and the non-regular operator monotone functions satisfying a certain functional equation. As an application we give a new proof of the operator monotonicity of certain functions related to the Wigner–Yanase–Dyson skew information. |
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