贾云锋. 有界半变差和有界变差c0-群[J]. 云南大学学报(自然科学版), 2005, 27(2): 93-96.
引用本文: 贾云锋. 有界半变差和有界变差c0-群[J]. 云南大学学报(自然科学版), 2005, 27(2): 93-96.
JIA Yun-feng. On bounded semivariation and variation of c0-groups[J]. Journal of Yunnan University: Natural Sciences Edition, 2005, 27(2): 93-96.
Citation: JIA Yun-feng. On bounded semivariation and variation of c0-groups[J]. Journal of Yunnan University: Natural Sciences Edition, 2005, 27(2): 93-96.

有界半变差和有界变差c0-群

On bounded semivariation and variation of c0-groups

  • 摘要: 通过引入有界半变差和有界变差c0-群的概念对c0-群进行了系列刻画;同时在c0-群的无穷小生成元为有界时给出了生成元与有界半变差和有界变差c0-群一些性质之间的关系

     

    Abstract: By introducing the concepts of bounded semivariation and variation of a c0-groups T(t)t∈R on a Banach space,some properties of T(t)t∈R are characterized.Furthermore,a few relations between the infinitesimal generator A of T(t)t∈R and these two concepts are also established in terms of the boundedness of A.

     

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