Orthogonalities, transitivity of norms and characterizations of Hilbert spaces

DOI10.1216/RMJ-2015-45-1-287zbMath1322.46009MaRDI QIDQ2340845

Senlin Wu, Horst Martini

Publication date: 21 April 2015

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1428412782

zbMATH Keywords

Hilbert spacesorthogonalityalmost transitive spaces

Mathematics Subject Classification ID

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

Related Items (5)

Homogeneity of isosceles orthogonality, transitivity of the norm, and characterizations of inner product spaces ⋮ The pointwise James type constant ⋮ On the class of Banach spaces with James constant 2 ⋮ Some aspects of generalized Zbăganu and James constant in Banach spaces ⋮ Orthogonality in Generalized Minkowski Spaces

Cites Work

• On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces
• The modulus of convexity in normed linear spaces
• On Nordlander's conjecture in the three-dimensional case
• Some characteristic and non-characteristic properties of inner product spaces
• On the uniqueness of isosceles orthogonality in normed linear spaces
• Orthogonality in linear metric spaces
• A Remark on the Singer-Orthogonality in Normed Linear Spaces
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Orthogonality in normed linear spaces
• 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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