【摘要】 假设在有界C-半群的概轨道()u的轨迹在Banach空间X中是弱紧的条件下,研究了C-半群的弱概周期性,得到了()Cu是弱概周期的;特别在X是自反的Banach空间的情况下,不用其假设条件也能获得同样的结论;相应获得了有界C-半群点的弱概周期。更多还原

【Abstract】 In this paper, weakly almost periodic of C-semigroup is studied, Let ()uis almost-orbit of a bounded C-semigroup on a Banach space X, assuming that ()u has weakly relatively compact range in X, We obtain that ()Cu is weakly almost periodic. In particular, in the case that X is reflexive Banach space,we show the same concusion without the assumption of condition that is weakly relatively compact in X is unnecessary for the same concusion. Accordingly we have weakly almost periodic of point in a bounded C-semigroup.更多还原