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On a characterization of velocity maps in the space of observables

1992
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Pacific Journal of Mathematics
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Motivated by Heisenberg's picture of quantum dynamics the notion of a velocity map is introduced and its properties are investigated. The main theorem in the present exposition strengthens the well-known result that every derivation on the algebra of all bounded operators on a complex separable Hubert space is inner. A constructive proof leads to an inversion formula for the observables inducing the derivation. Introduction. Let si be a von Neumann algebra. Then a derivation δ on si is a linear

doi:10.2140/pjm.1992.152.1
fatcat:bxgvsc42wjaapmkiszhemf76pm