Quantitative Steiner/Schwarz-type symmetrizations
Copyright policy )Quantitative Steiner/Schwarz-type symmetrizations
Considering higher dimensional symmetrizations the author shows that very few of them suffice to bring a symmetric convex body close to a Euclidean ball. Further, the author proves that very few Schwarz symmetrizations suffice to bring a body to a distance at most \(1 + \varepsilon\) for every given \(\varepsilon\).
Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry), Steiner-Schwarz-type symmetrizations, Convex sets in \(n\) dimensions (including convex hypersurfaces), Local theory of Banach spaces
Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry), Steiner-Schwarz-type symmetrizations, Convex sets in \(n\) dimensions (including convex hypersurfaces), Local theory of Banach spaces
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