Abstract
In this paper we study the relations between standard H-cones (c.f.[2],[3] and [4]) and balayage spaces (c.f.[1]). It turns out, that a standard H-cone S is associated with a balayage space if and only if S can be represented on a Bauer-simplex (i.e. a Choquet-simplex for which the set of extreme points is closed).
Keywords
- Extreme Point
- Radon Measure
- Natural Topology
- Continuous Element
- Martin Boundary
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© 1983 Springer-Verlag
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Janßen, K. (1983). Standard H-cones and balayage spaces. In: Cazacu, C.A., Boboc, N., Jurchescu, M., Suciu, I. (eds) Complex Analysis — Fifth Romanian-Finnish Seminar. Lecture Notes in Mathematics, vol 1014. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072079
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DOI: https://doi.org/10.1007/BFb0072079
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12683-6
Online ISBN: 978-3-540-38672-8
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