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Characterization of mean transformations
Authors:Ádám Besenyei  Dénes Petz
Institution:1. Department of Applied Analysis , ELTE , H-1117 Budapest, Pázmány P. sétány 1/c, Hungary badam@cs.elte.hu;3. Alfréd Rényi Institute of Mathematics , H-1364 Budapest, POB 127, Hungary
Abstract:The mean transformations M(A,?B) are linear mappings and they are analogues of the matrix means of A,?B?≥?0. They are defined by operator monotone functions. In this article several properties are described and a part of them characterize the concept.
Keywords:matrix monotone function  matrix means  transformer inequality  trace-preserving mappings
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