A note on entropy of finitely ergodic compact topological dynamical systems

Document Type : Original Article


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


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.