The need to study weighted shift operators arises in several areas of analysis: in the theory of singular integral and pseudodifferential operators with shift, in the theory of dynamical systems and in other areas.
Latushkin, Yu. D., Stëpin, A. M.
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Ergodic theory and iterative solution of linear operator equations
Applicable Analysis, 1976In this paper we consider the problem of approximating solutions of linear operator equations of the type u-Tu=f. The main tools are Dotson's extension of the Eberlein ergodic theorem to affine mappings and the DeMoivre-Laplace theorem of probability theory.
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Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators II
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On mean ergodic semigroups of random linear operators
Proceedings of the Japan Academy Series A: Mathematical Sciences, 2012Xia Zhang
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ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS
Proceedings of the National Academy of Sciences of the United States of America, 1968Calderon A P
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Perturbation theory for nullity, deficiency and other quantities of linear operators
Journal D'Analyse Mathematique, 1958Tosio Kato
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Dilations of positive operators: Construction and ergodic theory
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$$C_0$$ C 0 -semigroups associated with uniquely ergodic Kantorovich modifications of operators
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On the Ergodic Theorem for Positive Linear Operators.
Journal Fur Die Reine Und Angewandte Mathematik, 1960Eberhard Hopf
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