SOME CONDITIONS FOR THE EQUIVALENCE OFSTRONG AND WEAK STABILITIES
强弱稳定性等价的一些条件

In this paper, we are concerned with the stability problems for a Co semigroupT, on a Banach space. We prove that weak stability of T, implies strong stability ifthere exists a compact linear operator K with dense range such that for some or K = KR for some, P(A). By using the notation of derivation, these two conditions can be replaced by some more general...