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。 ()Cu⋅关 键 词 C-半群; 概轨道; 概周期; 弱概周期Abstract In this paper, weakly almost periodic of C-semigroup is studied, Let is almost-orbit of a bounded C-semigroup on a Banach space X, assuming that ()u⋅()u⋅ has weakly relatively compact range in X, We obtain that 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. ()Cu⋅Key words C-semigroup; almost-orbit of C-semigroup; almost periodic; weakly almost periodic
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