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Bull. Korean Math. Soc. 2009; 46(2): 347-358
Printed March 1, 2009
https://doi.org/10.4134/BKMS.2009.46.2.347
Copyright © The Korean Mathematical Society.
Decomposition of Dirichlet forms associated to unbounded Dirichlet operators
Chul Ki Ko
Yonsei University
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 $\mathcal M$. The aim of this paper is to extend $G$ to the unbounded generator using the bimodule structure and derivations.
Keywords: KMS-symmetric Markovian semigroups, Dirichlet forms, Dirichlet operators, derivations
MSC numbers: 46L55, 46L57, 47D07
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