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Matematicheskie Zametki, 2012, Volume 91, Issue 6, Pages 900–907
DOI: https://doi.org/10.4213/mzm9385 (Mi mzm9385) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Are Sufficient Conditions for Conservativity of Minimal Quantum Semigroups Necessary?

F. Fagnolaa, L. Pantaleón Martínezb

a Politecnico di Milano
b National Autonomous University of Mexico
Full-text PDF (444 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm9385
Abstract: We show by a counter-example that the two basic operator inequalities in the typical sufficient conditions for conservativity of minimal quantum dynamical semigroups are, in fact, both necessary.
Keywords: minimal quantum dynamical semigroup, conservativity, complex Hilbert space, algebra of bounded operators, contraction semigroup, Markov chain.
Received: 10.03.2011
English version:
Mathematical Notes, 2012, Volume 91, Issue 6, Pages 851–856
DOI: https://doi.org/10.1134/S000143461205032X
Bibliographic databases:
Document Type: Article
UDC: 517.958+530.145+512
Language: Russian
Citation: F. Fagnola, L. Pantaleón Martínez, “Are Sufficient Conditions for Conservativity of Minimal Quantum Semigroups Necessary?”, Mat. Zametki, 91:6 (2012), 900–907; Math. Notes, 91:6 (2012), 851–856
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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