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

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

2003-05-26

arxiv.org/abs/math/0305359v1

Mathematics

Operator Algebras

27 pages. To appear in J. Funct. Anal

Scientific paper

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.

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