COMPACTIFICATIONS OF BANACH SPACES AND CONSTRUCTION OF DIFFUSION PROCESSES  

作　　者：宋士奇 

出　　处：《Acta Mathematicae Applicatae Sinica》1994年第3期225-226,227228+229-2,共7页应用数学学报（英文版）

摘　　要：Let E be a separable Banach space and μ be a probability measure on E. We consider Dirichlet forms εon L2(E,m).A special compactification MГ of E is studied in order to give a simple sufficient condition which ensures that the complement MГ-E has zero ε-capacity.As an application we prove that the classical Dirichlet forms introduced in Albeverio-Rockner[1]satisfy this sufficient condition.Let E be a separable Banach space and μ be a probability measure on E. We consider Dirichlet forms εon L2(E,m).A special compactification MГ of E is studied in order to give a simple sufficient condition which ensures that the complement MГ-E has zero ε-capacity.As an application we prove that the classical Dirichlet forms introduced in Albeverio-Rockner[1]satisfy this sufficient condition.

关 键 词：Banach space compactification Dirichlet form caparity diffusion process 

分 类 号：O177[理学—数学]