06-73 Pavel Exner, Hagen Neidhardt, Takashi Ichinose, Valentin

Zeno product formula revisited (42K, LaTeX) Mar 15, 06

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Abstract. 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. [A revised version of mp_arc 04-379; to appear in Integral Equation and Operator Theory.]

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