c_0空间上生灭矩阵生成半群的条件(英文)  

Conditions on Generating Contractive Semigroups for Birth-death Matrices on c_0

作　　者：朱波[1] 李扬荣[1] 

机构地区：[1]西南师范大学数学系,重庆400715

出　　处：《应用泛函分析学报》2001年第4期305-309,共5页Acta Analysis Functionalis Applicata

基　　金：the National Natural Science Foundation of China (19871067)

摘　　要：本文讨论了ｃ０空间上生灭矩阵生成Ｃ０－半群的条件，并证明了该生成的半群是一正的压缩半群．In this paper. we study the condition under which the Q-matrix for birth-death process generates a C0-semigroup of contractions on c0, and obtain a sufficient and necessary condition. We also prove that the contractive C0-semigroup is positive.

关 键 词：BANACH空间 算子半群 生灭过程 Q-矩阵 

分 类 号：O177.3[理学—数学]