摘要
本文在Ｂａｎａｃｈ空间上研究单参数有界线性算子族—强连续双半群．文中给出强连续双半群母元的结构性定义．通过对母元性质的讨论，得到一个线性算子成为强连续双半群母元的充要条件．并对双半群的生成和唯一性进行了讨论，指出在特定的意义下，生成的强连续双半群是唯一的。
A family of bounded linear operators on Banach space, which is called a strongly continuous bisenigroup, is investigated in this paper. The definition of infinite generator of bisemigroup is given. By the discussion of the generator, the sufficient and necessary condition that an operator is a generator of bisemigroup is obtained. In sametime the uniqueness of generator and bisemigroup is discussed and the uniqueness of bisemigroup is the particular sense is given..
出处
《纯粹数学与应用数学》
CSCD
1995年第1期78-85,共8页
Pure and Applied Mathematics
