On mappings approximately transferring relations in finite-dimensional normed spaces

DOI10.1016/j.laa.2014.07.046zbMath1305.15065OpenAlexW2039581386MaRDI QIDQ405930

Paweł Wójcik

Publication date: 8 September 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2014.07.046

zbMATH Keywords

stabilityisosceles orthogonalityBirkhoff orthogonalityapproximate orthogonalitylinear mappings orthogonality preserving

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Linear preserver problems (15A86)

Related Items (4)

On mappings which approximately preserve angles ⋮ Birkhoff–James Orthogonality Reversing Property and Its Stability ⋮ On Exact and Approximate Orthogonalities Based on Norm Derivatives ⋮ APPROXIMATELY ANGLE PRESERVING MAPPINGS

Cites Work

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• Mappings approximately preserving orthogonality in normed spaces
• Linear mappings approximately preserving orthogonality
• Remarks on orthogonality preserving mappings in normed spaces and some stability problems
• Stability of the orthogonality preserving property in finite-dimensional inner product spaces
• On mappings approximately preserving orthogonality
• Isosceles-orthogonality preserving property and its stability
• On maps that preserve orthogonality in normed spaces
• Operators preserving orthogonality are isometries

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