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A Sheaf Property for Excessive Functions of Right Processes
Author(s) -
Steffens J.
Publication year - 1986
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19861290105
Subject(s) - mathematics , compactification (mathematics) , topology (electrical circuits) , topological space , sheaf , pure mathematics , combinatorics
On a state space of a right process a facial topology depending upon some RAY compactification is introduced. With respect to this facial topology the right process is shown to exhibit a nice path behaviour. Furthermore, conditions are given which permit a local characterization of excessive functions with respect to the facial topology. This result gives a partial answer to an open question within the potential theory of H ‐cones.