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Dirichlet forms on partial *-algebras

Published online by Cambridge University Press:  24 October 2008

G. O. S. Ekhaguere
G. O. S. Ekhaguere
Affiliation:
Department of Mathematics, University of Ibadan, Ibadan., Nigeria
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Dirichlet forms and their associated function spaces have been studied by a number of authors [4, 6, 7, 12, 15–18, 22, 25, 26]. Important motivation for the study has been the connection of Dirichlet forms with Markov processes [16–18, 25, 26]: for example, to every regular symmetric Dirichlet form, there is an associated Hunt process [13, 20]. This makes the theory of Dirichlet forms a convenient source of examples of Hunt processes. In the non-commutative setting, Markov fields have been studied by several authors [1–3, 14, 19, 24, 28]. It is therefore interesting to develop a non-commutative extension of the theory of Dirichlet forms and to study their connection with non-commutative Markov processes.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 104 , Issue 1 , July 1988 , pp. 129 - 140
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

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