Zeno product formula revisited
- Exner, Pavel
- Ichinose, Takashi
- Neidhardt, Hagen
- Zagrebnov, Valentin
2010 Mathematics Subject Classification
- 47A55 47B25 47D03 81Q10
- Zeno dynamics, product formulæ, resolvents, convergence, generalized observables
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.
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