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Completely superharmonic measures for the infinitesimal generator A of a diffusion semi-group and positive eigen elements of A

Published online by Cambridge University Press:  22 January 2016

Masayuki Itô  and
Noriaki Suzuki
Masayuki Itô
Affiliation:
Department of Mathematics, Faculty of Science, Nagoya University, Nagoya, Japan
Noriaki Suzuki
Affiliation:
Department of Mathematics, Faculty of Science, Nagoya University, Nagoya, Japan
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Let X be a locally compact Hausdorff space with countable basis. We denote by

M(X) the topological vector space of all real Radon measures in X with the vague topology,

MK(X) the topological vector space of all real Radon measures in X whose supports are compact with the usual inductive limit topology.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 83 , October 1981 , pp. 53 - 106
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1981

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