An integral characterization of Euclidean space

DOI10.1017/S0004972700021602zbMath0563.46017MaRDI QIDQ3676654

Jonathan M. Borwein

Publication date: 1984

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

convex bodyellipsoidintegration over Haar measure

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (1)

Proximality and Chebyshev sets

Cites Work

• An Integral Analogue to Parallelogram Law
• A Geometric Variant of Bade's Theorem on Dominating Measures
• Integral Identities of Norms and Characterization of Inner Product Spaces

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