Geodesic
Are Sufficient Conditions for Conservativity of Minimal Quantum Semigroups Necessary?
Matematičeskie zametki, Tome 91 (2012) no. 6, pp. 900-907

Voir la notice de l'article provenant de la source Math-Net.Ru

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
Mots-clés : Markov chain. 
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     author = {F. Fagnola and L. Pantale\'on Mart{\'\i}nez},
     title = {Are {Sufficient} {Conditions} for {Conservativity} of {Minimal} {Quantum} {Semigroups} {Necessary?}},
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     language = {ru},
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F. Fagnola; L. Pantaleón Martínez. Are Sufficient Conditions for Conservativity of Minimal Quantum Semigroups Necessary?. Matematičeskie zametki, Tome 91 (2012) no. 6, pp. 900-907. http://geodesic.mathdoc.fr/item/MZM_2012_91_6_a10/