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Article Dans Une Revue Integral Equations and Operator Theory Année : 2006

Zeno product formula revisited

Résumé

We introduce a new product formula which combines an orthogonal projection with a complex function of a non-negative operator. Under certain assumptions on the complex function the strong convergence of the product formula is shown. Under more restrictive assumptions even operator-norm convergence is verified. The mentioned formula can be used to describe Zeno dynamics in the situation when the usual non-decay measurement is replaced by a particular generalized observables in the sense of Davies.

Dates et versions

hal-00133302 , version 1 (25-02-2007)

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Pavel Exner, Takashi Ichinose, Hagen Neidhardt, Valentin A. Zagrebnov. Zeno product formula revisited. Integral Equations and Operator Theory, 2006. ⟨hal-00133302⟩
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