双参数C半群的一些结果  

Some results on two-parameter C semi-groups

作　　者：徐敏[1] 赵华新[1] 赵拓[1] 

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《沈阳师范大学学报（自然科学版）》2013年第3期363-366,共4页Journal of Shenyang Normal University:Natural Science Edition

基　　金：陕西省教育厅科研专项项目(12JK0891)

摘　　要：C半群是有界线性算子强连续半群的一个有意义的推广,这一概念最早是由Davies和Pang引入的,后来R.delaubenfels对其中生成元的定义做了改进。胡迪鹤教授为解决非时期马氏过程提出了双参数半群,梅春林先生对其进行了进一步的研究,许强研究了双参数C半群的定义。在此基础上给出了双参数C半群及其无穷小生成元的相关性质。另外,郎开禄给出了压缩C半群的Hill-Yosida定理,并应用压缩C半群的Hill-Yosida定理讨论了Banach空间中任意算子的Hill-Yosida C空间的性质。在此基础上进一步探讨了双参数C半群的Hill-Yosida定理。Bounded linear operator semi-group is a significant promotion of strong continuous semi-group. This concept was first introduced by Davies and Pang. Later, the definition of generating element was improved by R. delaubenfels. Hu Di-he gave the definition of two parameter semi-groups to solve non--homogeneous Markov processes. Mei Chun-lin has carried on the further research. Xu Qiang proposed two parameter C semi-groups. On these basis, this paper gives two parameter C semi-groups and studies the properties of generating element. In addition, Lang Kai-lu gave the Hille- yosida theorem of C semi-groups of contractions, and its applications to the Hille-Yosida C spaces of all arbitrary operator in a Banach spaces are discussed. On this basis, this paper further explores the Hille-yosida theorem of two parameter C semi-groups.

关 键 词：双参数C半群 单参数C半群 无穷小生成元 

分 类 号：O177.2[理学—数学]