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Radial Minkowski additive operators

Lewen Ji (2021)

Czechoslovak Mathematical Journal

We give some characterizations for radial Minkowski additive operators and prove a new characterization of balls. Finally, we show the property of radial Minkowski homomorphism.

Regularization of star bodies by random hyperplane cut off

V. D. Milman, A. Pajor (2003)

Studia Mathematica

We present a general result on regularization of an arbitrary convex body (and more generally a star body), which gives and extends global forms of a number of well known local facts, like the low M*-estimates, large Euclidean sections of finite volume-ratio spaces and others.

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