University of Mohaghegh ArdabiliJournal of Finsler Geometry and its Applications2783-05002120210701A note on entropy of finitely ergodic compact topological dynamical systems142150127110.22098/jfga.2021.1271ENMehdi RahimiDepartment of Mathematics, Faculty of Science,
University of Qom, Qom, Iran.
E-mail: m10.rahimi@gmail.comAmir AssariDepartment of Basic Science, Jundi-Shapur University of Technology,
Dezful, Iran.
E-mail: amirassari@jsu.ac.irJournal Article20210810In 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.https://jfga.uma.ac.ir/article_1271_0e2e55a66327bafc9bf8b3f27e98b244.pdf