Excessive measures and the existence of right semigroups and processes
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Abstract:
Given a resolvent $({U_\alpha })$ on a Lusin space $(E,\mathfrak {E})$, the paper gives necessary and sufficient conditions in terms of the excessive measures that ensure the existence of a right process, resp. a right continuous semigroup, on $(E,\mathfrak {E})$ with resolvent $({U_\alpha })$. Furthermore, a notion of nonbranch points with respect to $({U_\alpha })$ is introduced—also in terms of the excessive measures—and various characterizations are given. They show, in particular, the equivalence of this definition with those introduced and discussed by Engelbert and Wittmann.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 311 (1989), 267-290
- MSC: Primary 60J45; Secondary 31D05, 60J40
- DOI: https://doi.org/10.1090/S0002-9947-1989-0929664-0
- MathSciNet review: 929664