Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Compactifications of banach spaces and construction of diffusion processes

Compactifications of banach spaces and construction of diffusion processes LetE be a separable Banach space andμ be a probability measure onE. We consider Dirichlet formsε onL 2 (E, m). A special compactificationM Γ ofE is studied in order to give a simple sufficient condition which ensures that the complementM Γ −E has zeroε-capacity. As an application we prove that the classical Dirichlet forms introduced in Albeverio-Röckner [1] satisfy this sufficient condition. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Compactifications of banach spaces and construction of diffusion processes

Acta Mathematicae Applicatae Sinica , Volume 10 (3) – Jul 13, 2005

Loading next page...
 
/lp/springer-journals/compactifications-of-banach-spaces-and-construction-of-diffusion-j10e7U0WLI
Publisher
Springer Journals
Copyright
Copyright © 1994 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02006854
Publisher site
See Article on Publisher Site

Abstract

LetE be a separable Banach space andμ be a probability measure onE. We consider Dirichlet formsε onL 2 (E, m). A special compactificationM Γ ofE is studied in order to give a simple sufficient condition which ensures that the complementM Γ −E has zeroε-capacity. As an application we prove that the classical Dirichlet forms introduced in Albeverio-Röckner [1] satisfy this sufficient condition.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 13, 2005

References