Complete sets need not be reduced in Minkowski spaces

DOI10.1007/s13366-015-0249-3zbMath1347.52008arXiv1502.07602OpenAlexW2017206834MaRDI QIDQ747572

Horst Martini, Senlin Wu

Publication date: 16 October 2015

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.07602

zbMATH Keywords

Hadamard matrixMinkowski geometrybodies of constant widthreduced bodyWalsh matrix(diametrically) complete sets

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (5)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ The ratios of diameter and width of reduced and of complete convex bodies in Minkowski spaces ⋮ Complete sets in normed linear spaces ⋮ Is a complete, reduced set necessarily of constant width? ⋮ The asymmetry of complete and constant width bodies in general normed spaces and the Jung constant

Cites Work

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• Structure of the space of diametrically complete sets in a Minkowski space
• Reduced convex bodies in Euclidean space -- a survey
• Unconditionality in tensor products
• Reduced convex bodies in finite dimensional normed spaces: a survey
• The geometry of Minkowski spaces -- a survey. II.
• Diametrically Maximal and Constant Width Sets in Banach Spaces
• The geometry of Minkowski spaces -- a survey. I

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