Radon space

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In mathematics, a Radon space, named after Johann Radon, is a separable metric space (M,d) such that every Borel probability measure on M is inner regular. Since a probability measure is globally, and hence locally, finite, every probability measure on a Radon space is also a Radon measure.

[edit] Reference

  • Ambrosio, L., Gigli, N. & Savaré, G. (2005). Gradient Flows in Metric Spaces and in the Space of Probability Measures. ETH Zürich, Birkhäuser Verlag, Basel. ISBN 3-764-32428-7.
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