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Weighted translation operators and linear extensions of dynamical systems. (English. Russian original) Zbl 0752.47011

Russ. Math. Surv. 46, No. 2, 95-165 (1991); translation from Usp. Mat. Nauk 46, No. 2(278), 85-143 (1991).
The survey is devoted to the investigation of the connection between the theory of functional operators with shift and linear extensions of dynamical systems.
Contents: §1 Semi-groups of weighted shift operators. §2 Algebras of weighted shift operators. §3 Weighted shift operators and spectral theory of linear extensions. §4 Weighted shift operators and multiplicative ergodic theorems.

MSC:

47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
47A35 Ergodic theory of linear operators
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