Inscribed and circumscribed polygons that characterize inner product spaces

DOI10.1007/S00010-018-0540-0zbMath1395.46018arXiv1707.09171OpenAlexW2790316623MaRDI QIDQ1647759

Pedro Martín Jiménez, Diego Yáñez, Carlos Benítez

Publication date: 26 June 2018

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.09171

zbMATH Keywords

inner productnormed spacespolygonscharacterization of inner product spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Characterizations of Hilbert spaces (46C15) Convex sets in (2) dimensions (including convex curves) (52A10)

Cites Work

• Characterizations of inner product spaces
• Normed spaces in which the unit sphere has no bias
• Middle points, medians and inner products
• Middle points and inner products
• Orthogonality and Linear Functionals in Normed Linear Spaces

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