Linear maps on the space of all bounded observables preserving maximal deviation

math.OA

/ Authors

/ 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.

Linear maps on the space of all bounded observables preserving maximal deviation

math.OA

/ Authors

L. Molnar, M. Barczy

/ 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.