Tsukuba Journal of Mathematics
- Tsukuba J. Math.
- Volume 38, Number 2 (2015), 159-170.
Distance between metric measure spaces and distance matrix distributions
We study the Prohorov distance between the distance matrix distributions of two metric measure spaces. We prove that it is not smaller than 1-box distance between two metric measure spaces and also prove that it is not larger than 0-box distance between two metric measure spaces.
Tsukuba J. Math., Volume 38, Number 2 (2015), 159-170.
First available in Project Euclid: 15 April 2015
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Ozawa, Ryunosuke. Distance between metric measure spaces and distance matrix distributions. Tsukuba J. Math. 38 (2015), no. 2, 159--170. doi:10.21099/tkbjm/1429103718. https://projecteuclid.org/euclid.tkbjm/1429103718