KMS Of Academy of mathematics and systems sciences, CAS
Quasi-regular topologies for Dirichlet forms on arbitrary Hausdorff spaces | |
Dong, Z | |
1998-12-01 | |
发表期刊 | ACTA MATHEMATICA SINICA-ENGLISH SERIES |
ISSN | 1000-9574 |
卷号 | 14页码:683-690 |
摘要 | A topology tau on a measure space (E, B, m) is called E-quasi-regular if tau makes a given Dirichlet form (E, D(E)) on L-2(E; m) quasi-regular. In this paper we give a measure theoretical characterization of E-quasi-regular topologies, which is a problem raised by the famous mathematician Mokobodzki in 1991. Also we extend this result to the positivity preserving coercive form. Lastly we give an application of Theorem 1.2. |
关键词 | Dirichlet forms quasi-regular topology quasi-regularity |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000079582100012 |
出版者 | SPRINGER-VERLAG SINGAPORE PTE LTD |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/13989 |
专题 | 应用数学研究所 |
通讯作者 | Dong, Z |
作者单位 | Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Dong, Z. Quasi-regular topologies for Dirichlet forms on arbitrary Hausdorff spaces[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,1998,14:683-690. |
APA | Dong, Z.(1998).Quasi-regular topologies for Dirichlet forms on arbitrary Hausdorff spaces.ACTA MATHEMATICA SINICA-ENGLISH SERIES,14,683-690. |
MLA | Dong, Z."Quasi-regular topologies for Dirichlet forms on arbitrary Hausdorff spaces".ACTA MATHEMATICA SINICA-ENGLISH SERIES 14(1998):683-690. |
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