VII: 27, 291-300, LNM 321 (1973)
TAYLOR, John C.
On the existence of resolvents (Potential theory)
Since the basic results of Hunt, a kernel satisfying the complete maximum principle is expected to be the potential kernel of a sub-Markov resolvent. This is not always the case, however, and one should also express that, so to speak, ``potentials vanish at the boundary''. Such a condition is given here on an abstract space, which supersedes an earlier result of the author (Invent. Math. 17, 1972) and a result of Hirsch (Ann. Inst. Fourier, 22-1, 1972)
Comment: The definitive paper of Taylor on this subject appeared in Ann. Prob., 3, 1975
Keywords: Complete maximum principle, Resolvents
Nature: Original
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