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Memoirs of the American Mathematical Society
2001; 114 pp; softcover
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Order Code: MEMO/149/709
We study the partially ordered set of quantum dynamical semigroups dominated by a given semigroup on the algebra of all bounded operators on a Hilbert space. For semigroups of \(*\)-endomorphisms this set can be described through cocycles. This helps us to prove a factorization theorem for dilations and to show that minimal dilations of quantum dynamical semigroups with bounded generators can be got through Hudson-Parthasarathy cocycles.
Graduate students and research mathematicians interested in functional analysis.
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