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Non-symmetric Dirichlet Forms on Semifinite von Neumann Algebras

✍ Scribed by Daniele Guido; Tommaso Isola; Sergio Scarlatti

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 972 KB
Volume: 135
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1996.0003

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✦ Synopsis

The theory of non symmetric Dirichlet forms is generalized to the non abelian setting, also establishing the natural correspondences among Dirichlet forms, sub-Markovian semigroups and sub-Markovian resolvents within this context. Some results on the allowed functional calculus for closed derivations on Hilbert algebras are obtained. Examples of non symmetric Dirichlet forms given by derivations on Hilbert algebras are studied.

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