Construction of dynamical semigroups by a functional regularization à la Kato

DOI10.1134/S004057792007003XzbMath1448.37030arXiv1701.03506OpenAlexW3043321575MaRDI QIDQ2193750

A. F. M. ter Elst, Valentin A. Zagrebnov

Publication date: 20 August 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.03506

zbMATH Keywords

perturbationpositivity preservingdynamical semigroupKato regularization

Mathematics Subject Classification ID

Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50) Bosonic systems in quantum theory (81V73)

Cites Work

• Dynamics of an open system for repeated harmonic perturbation
• On perturbed substochastic semigroups in abstract state spaces
• Quantum dynamical semigroups and the neutron diffusion equation
• Completely positive maps on the CCR-algebra
• On the semi-group generated by Kolmogoroff's differential equations
• Statistical Structure of Quantum Theory
• Dynamical semigroup for unbounded repeated perturbation of an open system
• Algebraic probability spaces
• A perturbation theorem for linear contraction semigroups on reflexive Banach spaces
• Perturbations of Dissipative Operators with Relative Bound One
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