Photocopying permitted by license only an alternative compactification for classical dirichlet forms on topological vector spaces

Abstract

We consider classical Dirichlet forms defined over an infinite dimensional space E as in the work of Albeverio and Röckner. We use a compactification to strengthen their result that there exists an associated E‐valued diffusion, provided E is a separable Banach space. We do not require any additional assumptions on E.

Keywords:

• Dirichlet form
• diffusion
• Banach space