Averaging distances in finite dimensional normed spaces and John’s ellipsoid

DOI10.1090/S0002-9939-01-06160-3zbMath0986.46007MaRDI QIDQ2758997

Aicke Hinrichs

Publication date: 10 December 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Banach spaceaverage distance propertyrendezvous numberJohn's ellipsoid

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Local theory of Banach spaces (46B07) Isometric theory of Banach spaces (46B04) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items

Maximum average distance in complex finite dimensional normed spaces ⋮ DISTANCE GEOMETRY IN QUASIHYPERMETRIC SPACES. I ⋮ Distance geometry in quasihypermetric spaces. II ⋮ Finite quasihypermetric spaces

Cites Work

• On the average distance property of spheres in Banach spaces
• Numerical Geometry-Numbers for Shapes
• On the average distance property in finite dimensional real Banach spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item