Orthogonality connected with integral means and characterizations of inner product spaces

DOI10.1007/s00022-010-0048-9zbMath1210.46014OpenAlexW1976128146MaRDI QIDQ622542

Eder Kikianty, Sever Silvestru Dragomir

Publication date: 3 February 2011

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-010-0048-9

zbMATH Keywords

isosceles orthogonalityinner product spaceorthogonalitystrictly convex spacePythagorean orthogonalityCartesian product space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Characterizations of Hilbert spaces (46C15)

Related Items (6)

Orthogonality Types in Normed Linear Spaces ⋮ Unnamed Item ⋮ On uniqueness of new orthogonality via 2-HH norm in normed linear space ⋮ On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces ⋮ Characterization of real inner product spaces by Hermite-Hadamard type orthogonalities ⋮ Characterization of inner product spaces

Cites Work

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• Unnamed Item
• The \(p\)-\(HH\) norms on Cartesian powers and sequence spaces
• Characterization of inner product spaces by means of orthogonally additive mappings
• Characterizations of inner product spaces
• Metrizations of orthogonality and characterizations of inner product spaces
• Note on the existence of scalar products in normed linear spaces
• Orthogonality in normed spaces
• Orthogonality and characterizations of inner product spaces
• Hermite-Hadamard's inequality and the p-HH-norm on the Cartesian product of two copies of a normed space
• Orthogonality in normed linear spaces

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