Latushkin, Yu. D.; Stëpin, A. M. 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. Reviewer: N.K.Karapetyants (Rostov-na-Donu) Cited in 21 Documents MSC: 47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) 47A35 Ergodic theory of linear operators Keywords:functional operators; shift; linear extension of dynamical systems; weighted shift operators; spectral theory; multiplicative ergodic theorems PDF BibTeX XML Cite \textit{Yu. D. Latushkin} and \textit{A. M. Stëpin}, Russ. Math. Surv. 46, No. 2, 95--165 (1991; Zbl 0752.47011); translation from Usp. Mat. Nauk 46, No. 2(278), 85--143 (1991) Full Text: DOI OpenURL