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.


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