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COMPACTIFICATIONS OF BANACH SPACES AND CONSTRUCTION OF DIFFUSION PROCESSES
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作者 宋士奇 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1994年第3期225-226,227228+229-2,共7页
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 ensu... 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. 展开更多
关键词 Banach space compactification Dirichlet form caparity diffusion process
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