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Generators of dynamical systems on Hilbert modules. (English) Zbl 1328.46061

Summary: We characterize the generators of dynamical systems on Hilbert modules as those generators of one-parameter groups of Banach space isometries which are ternary derivations. We investigate in how far a similar condition can be expressed in terms of generalized derivations.

MSC:

46L55 Noncommutative dynamical systems
46L53 Noncommutative probability and statistics
46L60 Applications of selfadjoint operator algebras to physics
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