Measures and Dirichlet forms under the Gelfand transform

Autor:	Hinz, Michael, Kelleher, Daniel, Teplyaev, Alexander
Rok vydání:	2012
Předmět:	Mathematics - Functional Analysis Mathematics - General Topology Mathematics - Probability 31C25 28A25 46E25 54E45 60J25
Druh dokumentu:	Working Paper
Popis:	Using the standard tools of Daniell-Stone integrals, Stone-\v{C}ech compactification and Gelfand transform, we discuss how any Dirichlet form defined on a measurable space can be transformed into a regular Dirichlet form on a locally compact space. This implies existence, on the Stone-\v{C}ech compactification, of the associated Hunt process. As an application, we show that for any separable resistance form in the sense of Kigami there exists an associated Markov process.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1212.1099 Zobrazit plný text záznamu View this record from Arxiv