Orthogonalities, linear operators, and characterization of inner product spaces

DOI10.1007/s00010-017-0494-7zbMath1390.46014OpenAlexW2619529296MaRDI QIDQ1675102

Senlin Wu, Chan He, Guang Yang

Publication date: 26 October 2017

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

Full work available at URL: https://doi.org/10.1007/s00010-017-0494-7

zbMATH Keywords

isosceles orthogonalitycharacterization of inner product spacesBirkhoff orthogonalityorthogonality reversing operators

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Characterizations of Hilbert spaces (46C15) Linear preserver problems (15A86)

Related Items (5)

Orthogonality Types in Normed Linear Spaces ⋮ Birkhoff–James Orthogonality Reversing Property and Its Stability ⋮ On Exact and Approximate Orthogonalities Based on Norm Derivatives ⋮ Bounds for the \(p\)-angular distance and characterizations of inner product spaces ⋮ Extension of Dunkl-Williams inequality and characterizations of inner product spaces

Cites Work

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• On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces
• Two mappings related to semi-inner products and their applications in geometry of normed linear spaces
• Operators reversing orthogonality in normed spaces
• On maps that preserve orthogonality in normed spaces
• Operators preserving orthogonality are isometries
• A Remark on the Singer-Orthogonality in Normed Linear Spaces
• Operators Reversing Orthogonality and Characterization of Inner Product Spaces

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