Theorem 3 X is a bornologic space if and only if every uniformly bounded set of linear operators from X to Y is equicontinuous.
定理3 X是囿空间的充要条件为：每个从X到Y的一致有界的线性算子族都是等度连续的。
2
We characterize almost periodicity with equicontinuity, and prove that if the group is uniform equicontinuous then it is topologically equivalent to an isometric one.
In this paper, the following two properties of compact system be proved; (1) a factor of a minimal system is minimal; (2) a factor of an equicontinuous system is equicontinuous system.