 0673 Pavel Exner, Hagen Neidhardt, Takashi Ichinose, Valentin
 Zeno product formula revisited
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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 nonnegative
operator. Under certain assumptions on the complex function
the strong convergence of the product formula is shown. Under more
restrictive assumptions even operatornorm convergence is verified.
The mentioned formula can be used to describe
Zeno dynamics in the situation when the usual nondecay
measurement is replaced by a particular generalized observables in
the sense of Davies. [A revised version of mp_arc 04379; to appear
in Integral Equation and Operator Theory.]
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