| 有界半变差和有界变差c0-群 |
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| 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. |
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| 作者姓名： | 贾云锋 |
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| 作者单位： | 陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
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| 基金项目： | ThisworkwassupportedbytheNaturalScienceFoundationofChina( 10 0 710 48) . |
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| 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
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| 关 键 词： | 有界半变差 有界变差 c0-群 无穷小生成元 |
On bounded semivariation and variation of c0-groups |
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| JIA Yun-feng.On bounded semivariation and variation of c0-groups[J].Journal of Yunnan University(Natural Sciences),2005,27(2):93-96. |
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| Authors: | JIA Yun-feng |
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| Institution: | College of Mathematics and Information Science, Shanxi Normal University, Xi’an 710062, China |
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| 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 establ ished in terms of the boundedness of A. |
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| Keywords: | bounded semivariation bounded variation c_0-groups infinitesimal generator |
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