Isometries of the space of convex bodies of E d

DOI10.1112/S0025579300009517zbMath0403.52002OpenAlexW2159309413MaRDI QIDQ4188371

Peter M. Gruber

Publication date: 1979

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300009517

zbMATH Keywords

Isometries of Space of Convex Bodies of Ed

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Classical measure theory (28A99) Set functions and measures on spaces with additional structure (28C99)

Related Items (6)

Isometrien des Raumes der konvexen Teilmengen der Sphäre ⋮ Isometries of spaces of compact or compact convex subsets of metric manifolds ⋮ EXTREMAL BANACH–MAZUR DISTANCE BETWEEN A SYMMETRIC CONVEX BODY AND AN ARBITRARY CONVEX BODY ON THE PLANE ⋮ Isometries of the space of convex bodies contained in a Euclidean ball ⋮ Dualities and endomorphisms of pseudo-cones ⋮ Isometries of measure algebras

Cites Work

• Über das Verhalten der Entfernung zweier Punktmengen bei gleichzeitiger Symmetrisierung derselben
• A characterization of the parallelepided in \(E^ n\)

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