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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 204, Number 1, Pages 46–69
DOI: https://doi.org/10.4213/tmf9871 (Mi tmf9871) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Construction of dynamical semigroups by a functional regularization à la Kato

A. F. M. ter Elsta, V. A. Zagrebnovbc

a Department of Mathematics, University of Auckland, Auckland, New Zealand
b Institut de Mathématiques de Marseille, Marseille, France
c Département de Mathématiques, Université d’Aix-Marseille, Marseille, France
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DOI: https://doi.org/10.4213/tmf9871
Abstract: 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, perturbation, Kato regularization, positivity preserving.
Funding agency Grant number
Marie Sklodowska-Curie Actions 318910
Marsden Fund — Royal Society of New Zealand
The visits of V. A. Zagrebnov to the University of Auckland in 2015 and 2016 were supported by the EU Marie Curie IRSES program (Project "AOS," No. 318910) and the Marsden Fund Council from government funding administered by the Royal Society of New Zealand.
Received: 24.12.2019
Revised: 27.01.2020
English version:
Theoretical and Mathematical Physics, 2020, Volume 204, Issue 1, Pages 875–895
DOI: https://doi.org/10.1134/S004057792007003X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. F. M. ter Elst, V. A. Zagrebnov, “Construction of dynamical semigroups by a functional regularization à la Kato”, TMF, 204:1 (2020), 46–69; Theoret. and Math. Phys., 204:1 (2020), 875–895
Citation in format AMSBIB
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\paper Construction of dynamical semigroups by a~ functional regularization \`a~la Kato
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\issue 1
\pages 46--69
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\jour Theoret. and Math. Phys.
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  • https://doi.org/10.4213/tmf9871
  • https://www.mathnet.ru/eng/tmf/v204/i1/p46
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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