Completely positive mappings and mean matrices |
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| Authors: | Á dá m Besenyei |
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| Affiliation: | a Department of Applied Analysis, ELTE, H-1117 Budapest, Pázmány sétány 1/c, Hungary
b Department of Mathematical Analysis, BME, H-1111 Budapest, M?egyetem rakpart 3-9, Hungary |
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| Abstract: | Some functions f:R+→R+ induce mean of positive numbers and the matrix monotonicity gives a possibility for means of positive definite matrices. Moreover, such a function f can define a linear mapping  on matrices (which is basic in the constructions of monotone metrics). The present subject is to check the complete positivity of  in the case of a few concrete functions f. This problem has been motivated by applications in quantum information. |
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| Keywords: | Primary: 26E60 Secondary: 15A45 |
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