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arxiv: math/0305359 · v1 · submitted 2003-05-26 · 🧮 math.OA · math.FA· quant-ph

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

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keywords boundedlinearmapsobservablesspacebijectivecorrespondingdetermine
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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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