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Linear maps on the space of all bounded observables preserving maximal deviation
Authors:Lajos Molná  r,Má  tyá  s Barczy
Affiliation:Institute of Mathematics and Informatics, University of Debrecen, 4010 Debrecen, P.O. Box 12, Hungary
Abstract:In this paper we determine all the bijective linear maps on the space of bounded observables which preserve a fixed moment or the variance. Nonlinear versions of the corresponding results are also presented.
Keywords:Bounded observable   Mean value   Moments   Variance   Deviation   Linear preservers   Isometry
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