### DECOMPOSITION OF DIRICHLET FORMS ASSOCIATED TO UNBOUNDED DIRICHLET OPERATORS

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Ko, Chul-Ki

• 발행 : 2009.03.31
• 20 5

#### 초록

In [8], the author decomposed the Dirichlet form associated to a bounded generator G of a $weakly^*$-continuous, completely positive, KMS-symmetric Markovian semigroup on a von Neumann algebra M. The aim of this paper is to extend G to the unbounded generator using the bimodule structure and derivations.

#### 키워드

KMS-symmetric Markovian semigroups;Dirichlet forms;Dirichlet operators;derivations

#### 참고문헌

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#### 피인용 문헌

1. 1. Derivations and Dirichlet forms on fractals vol.263, pp.8, 2012, doi:10.4134/BKMS.2009.46.2.347