%0 Journal Article %T Entropy operator for continuous dynamical systems of finite topological entropy %J Bulletin of the Iranian Mathematical Society %I Iranian Mathematical Society (IMS) %Z 1017-060X %A Rahimi, Mehdi %A Riazi, Abdolhamid %D 2012 %\ 12/15/2012 %V 38 %N 4 %P 883-892 %! Entropy operator for continuous dynamical systems of finite topological entropy %K Entropy %K entropy operator %K dynamical system %R %X In this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. It is shown that it generates the Kolmogorov entropy as a special case. If $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm. %U http://bims.iranjournals.ir/article_223_e9885c9254062cfa69de1fd24b6324d7.pdf