Algebraic structure on Dirichlet spaces

被引：4

作者：

Fang, Xing ^{[1
]}

He, Ping ^{[2
]}

Ying, Jian Gang ^{[3
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

[2] Shanghai Univ Finance & Econ, Dept Appl Math, Shanghai 200080, Peoples R China

[3] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2006年 / 22卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Dirichlet form; Markovian property; algebra;

D O I：

10.1007/s10114-005-0583-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：723 / 728

页数：6

共 7 条

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[3]

Fukushima M., 2011, De Gruyter Stud. Math., V19

[4]

Gillman L., 1960, RINGS CONTINUOUS FUN

[5]

Ma Z. M., 1992, INTRO THEORY NONSYMM

[6] Killing and subordination [J].

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[7]

[No title captured]

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