Spectral Conditions for Stability of One-Parameter Semigroups
β Scribed by Charles J.K. Batty
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 461 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0022-0396
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π SIMILAR VOLUMES
The conservativity of a minimal quantum dynamical semigroup is proved whenever there exists a ``generalized'' subharmonic operator bounded from below by the dissipative part of the infinitesimal generator. We discuss applications of this criteria in mathematical physics and quantum probability.
The inverse problem of the scattering theory for Sturm-Liouville operator on the half line with boundary condition depending quadratic on the spectral parameter is considered. Scattering data are defined, some properties of the scattering data are examined, the main equation is obtained, solvability
Al~a~et--Let a real polynomial in a complex variable, whose coefficients are any given continuous functions of two real interval parameters, be given. Necessary and sufficient conditions are derived for the polynomial to have all its zeros outside (or inside) the unit circle of the complex variable