ESTIMATIONS OF THE NORM OF THE POWERS OF THE OPERATOR GENERATED BY IRRATIONAL ROTATION
Abstract
In this article we consider weighted shift operators generated by irrational rotation. The descreption of the norm of the powers of those operators depending on the properties of the cofficients of the mentioned operators and on the arithmeticals properties of the irrational number yielding an angle of rotation is given.
About the Authors
A. V. Antonevich
Belarusian State University
Belarus
D. Sc. (Physics and Mathematics), Professor
Belarus
D. Sc. (Physics and Mathematics), Professor
Ali A. Shukur
Belarusian State University
Belarus
Postgraduate student
Belarus
Postgraduate student
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