Construction of dynamical semigroups by a~ functional regularization \`a~la Kato
Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 1, pp. 46-69

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We introduce a functional version of the Kato one-parameter regularization for constructing a dynamical semigroup generator of a relative bound-one perturbation. As an example of an application, we consider a regularization based on a boson-number cutoff.
Keywords: dynamical semigroup, Kato regularization, positivity preserving.
Mots-clés : perturbation
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     author = {A. F. M. ter Elst and V. A. Zagrebnov},
     title = {Construction of dynamical semigroups by a~ functional regularization \`a~la {Kato}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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A. F. M. ter Elst; V. A. Zagrebnov. Construction of dynamical semigroups by a~ functional regularization \`a~la Kato. Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 1, pp. 46-69. http://geodesic.mathdoc.fr/item/TMF_2020_204_1_a2/