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Published in:
2015 | OriginalPaper | Chapter
Stability of Quantum Dynamical Semigroups
Authors : B. V. Rajarama Bhat, Sachi Srivastava
Published in: Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics
Publisher: Springer International Publishing
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A one parameter semigroup of maps is said to be stable if it eventually decays to zero. Generally different topologies for convergence to zero give rise to different notions of stability. Stability is also connected with absence of fixed points. We examine these concepts in the context of quantum dynamical semigroups and dilation theory.