广义C_0算子群

Generalized C_0 Operator Group

在Banach空间上研究单参数有界线性算子族——广义C0算子群,文中给出了广义C0半群及它的生成元定义,进而类似于C0算子群,给出了广义C0算子群的概念,并讨论了它与广义C0半群之间的关系。

A family of bounded linear operators on banach space,which is called generalized C0 operator group,is investigated in this paper.The definition of generalzed C0 semigroup and infinite generator is given,moreover,simicar to C0 operator group,give a concept of generaitzed C0 operator group and obtain a series of results between generalized C0 operator group and generaitzed C0 semigroup.