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On Unsymmetric Dirichlet Forms

Published online by Cambridge University Press:  20 November 2018

Joanne Elliott
Joanne Elliott*
Affiliation:
Rutgers University, New Brunswick, New Jersey
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Let F be a linear, but not necessarily closed, subspace of L2[X, dm], where (X,,m) is a σ-finite measure space with the Borel subsets of the locally compact space X. If u and v are measureable functions, then v is called a normalized contraction of u if and Assume that F is stable under normalized contractions, that is, if u ∈ F and v is a normalized contraction of u, then v ∈ F.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 2 , April 1973 , pp. 252 - 260
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Beurling, A. and Deny, J., Dirichlet spaces, Proc. Nat. Acad. Sci. USA 45 (1959), 208–215.Google Scholar
2. Fukushima, M., On boundary conditions for multidimensional Brownian motion with symmetric resolvent densities, J. Math. Soc. Japan 21 (1969), 58–93.Google Scholar
3. Kunita, H., Sub-Markov semi-groups in Banach lattices, Proceedings of the international conference on functional analysis and related topics, Tokyo, 1969.Google Scholar
4. Kunita, H., General boundary conditions for multi-dimensional diffusion processes, J. Math. Kyoto Univ. 10 (1970), 273–335.Google Scholar