DECOMPOSITION OF DIRICHLET FORMS ASSOCIATED TO UNBOUNDED DIRICHLET OPERATORS

Title & Authors
DECOMPOSITION OF DIRICHLET FORMS ASSOCIATED TO UNBOUNDED DIRICHLET OPERATORS
Ko, Chul-Ki;

Abstract
In [8], the author decomposed the Dirichlet form associated to a bounded generator G of a $\small{weakly^*}$-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.
Keywords
KMS-symmetric Markovian semigroups;Dirichlet forms;Dirichlet operators;derivations;
Language
English
Cited by
1.
Derivations and Dirichlet forms on fractals, Journal of Functional Analysis, 2012, 263, 8, 2141
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