A note on entropy of finitely ergodic compact topological dynamical systems

Document Type : Original Article

Authors

1 Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran. E-mail: m10.rahimi@gmail.com

2 Department of Basic Science, Jundi-Shapur University of Technology, Dezful, Iran. E-mail: amirassari@jsu.ac.ir

Abstract

In this paper, using a map on the product space, we define a linear functional on a Hilbert space and we extract the metric entropy of a system as the operator norm of the linear functional. This follows an approach which considers the entropy of a dynamical system as a linear operator.

Keywords

References

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Journal of Finsler Geometry and its Applications
Volume 2, Issue 1
July 2021
Pages 142-150

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