关于拓扑熵的一个注记

摘要

For the linear operator T:l2(N)→l2(N) ,x→2x, it is proved that there exists a compact set K?l2(N) such that r(ε,K,T) =∞.This result make up a deficiency in the classical texbook An Introduction to Ergodic Theory written by P. Waters.%对于线性算子T:l2(N)→l2( N),x1→2x,证明了存在一个紧集K(∪)l2(N)使得r(ε,K,T)=∞.这弥补了P.Waters编写的动力系统经典教材《An Introduction to Ergodic Theory》一书中的一处不足.