This article is cited in 3 papers

Are Sufficient Conditions for Conservativity of Minimal Quantum Semigroups Necessary?

F. Fagnola^a, L. Pantaleón Martínez<sup>b

a</sup> Politecnico di Milano
^b National Autonomous University of Mexico

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.

UDC: 517.958+530.145+512

Received: 10.03.2011

DOI: 10.4213/mzm9385

 English version: Mathematical Notes, 2012, 91:6, 851–856

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