Isometric reflection vectors and characterizations of Hilbert spaces

DOI10.1155/2014/634082zbMath1296.46024OpenAlexW2054344750WikidataQ59057583 ScholiaQ59057583MaRDI QIDQ2443801

Senlin Wu, Donghai Ji

Publication date: 8 April 2014

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/634082

zbMATH Keywords

Hilbert spacesisometric reflections

Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15) Isometric theory of Banach spaces (46B04)

Cites Work

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• Homogeneity of isosceles orthogonality and related inequalities
• On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces
• Halving circular arcs in normed planes
• Isometric reflection vectors in Banach spaces
• Characterizations of inner product spaces
• Geometry of isometric reflection vectors
• Isometric reflections on Banach spaces after a paper of A. Skorik and A. Zaidenberg: ``On isometric reflections in Banach spaces.
• The geometry of Minkowski spaces -- a survey. I

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