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Algebraic Structure on Dirichlet Spaces
作者姓名:Xing  FANG  Ping  HE  Jian  Gang  YING
作者单位:[1]Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China [2]Department of Applied Mathematics, Shanghai University of Finance and Economics, Shanghai 200080, P. R. China [3]Institute of Mathematics, Fudan University, Shanghai 200433, P. R. China
基金项目:Research supported in part by National Science Foundation of China (No. 10271109),Acknowledgements The authors would like to thank Professor Patrick Fitzsimmons for his comments and also to thank the referee for pointing out an error and for valuable suggestions.
摘    要:

关 键 词:代数学  代数结构  Dirichlet空间  等效条件
收稿时间:2003-06-18
修稿时间:2003-06-182004-06-18

Algebraic Structure on Dirichlet Spaces
Xing FANG Ping HE Jian Gang YING.Algebraic Structure on Dirichlet Spaces[J].Acta Mathematica Sinica,2006,22(3):723-728.
Authors:Xing Fang  Ping He  Jian Gang Ying
Institution:(1) Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China;(2) Department of Applied Mathematics, Shanghai University of Finance and Economics, Shanghai 200080, P. R. China;(3) Institute of Mathematics, Fudan University, Shanghai 200433, P. R. China
Abstract:In this short note, we shall give a few equivalent conditions for a closed form to be Markovian, and prove that the closure of a sub-algebra of bounded functions in a Dirichlet space must be Markovian. We also study the regular representation of Dirichlet spaces and the classification of Dirichlet subspaces.
Keywords:Dirichlet form  Markovian property  Algebra
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