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"The book is a monograph dealing with a selection of topics in open quantum systems theory. Its particular aim with respect to other publications is to connect the results to a more solid mathematical background, so that most results are directly proven, even though proofs are usually restricted to a finite-dimensional setting to keep matters simple. ... The monograph is written in a clear and concise style and provides a compact introduction to the subject ... ." (Bassano Vacchini, Mathematical Reviews, Issue 2012 j)