Ortega Moreno, O. A. (2023). Iterations of Minkowski valuations. Journal of Functional Analysis, 284(10), Article 109887. https://doi.org/10.1016/j.jfa.2023.109887
It is shown that for any sufficiently regular even Minkowski
valuation Φ which is homogeneous and intertwines rigid mo-
tions, and for any convex body K in a smooth neighborhood
of the unit ball, there exists a sequence of positive numbers
(γm)∞
m=1 such that (γmΦmK)∞
m=1 converges to the unit ball
with respect to the Hausdorff metric.
