• Medientyp: E-Artikel; Sonstige Veröffentlichung
  • Titel: Zeno Product Formula Revisited
  • Beteiligte: Exner, Pavel [VerfasserIn]; Zagrebnov, Valentin A. [VerfasserIn]; Neidhardt, Hagen [VerfasserIn]; Ichinose, Takashi [VerfasserIn]
  • Erschienen: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2006
  • Sprache: Englisch
  • DOI: https://doi.org/10.1007/s00020-006-1440-6
  • ISSN: 0378-620X
  • Schlagwörter: article ; Zeno dynamics -- product formulæ -- resolvents -- convergence -- generalized observables
  • Entstehung:
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  • Beschreibung: 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.