Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups
Wirth M. 2024. Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups. Journal of Functional Analysis. 287(3), 110475.
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Abstract
In this article we prove a refined version of the Christensen–Evans theorem for generators of uniformly continuous GNS-symmetric quantum Markov semigroups. We use this result to show the existence of GNS-symmetric extensions of GNS-symmetric quantum Markov semigroups. In particular, this implies that the generators of GNS-symmetric quantum Markov semigroups on finite-dimensional von Neumann algebra can be written in the form specified by Alicki's theorem.
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Date Published
2024-05-03
Journal Title
Journal of Functional Analysis
Volume
287
Issue
3
Article Number
110475
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Cite this
Wirth M. Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups. Journal of Functional Analysis. 2024;287(3). doi:10.1016/j.jfa.2024.110475
Wirth, M. (2024). Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2024.110475
Wirth, Melchior. “Christensen–Evans Theorem and Extensions of GNS-Symmetric Quantum Markov Semigroups.” Journal of Functional Analysis. Elsevier, 2024. https://doi.org/10.1016/j.jfa.2024.110475.
M. Wirth, “Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups,” Journal of Functional Analysis, vol. 287, no. 3. Elsevier, 2024.
Wirth M. 2024. Christensen–Evans theorem and extensions of GNS-symmetric quantum Markov semigroups. Journal of Functional Analysis. 287(3), 110475.
Wirth, Melchior. “Christensen–Evans Theorem and Extensions of GNS-Symmetric Quantum Markov Semigroups.” Journal of Functional Analysis, vol. 287, no. 3, 110475, Elsevier, 2024, doi:10.1016/j.jfa.2024.110475.
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