Algebraic Structure on Dirichlet Spaces

Xing Fang; Ping He; Jian Gang Ying
May 2006
Acta Mathematica Sinica;May2006, Vol. 22 Issue 3, p723
Academic Journal
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.


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