Linear approximation of approximately biorthogonality preserving maps

DOI10.1016/J.JMAA.2007.02.068zbMath1129.39012OpenAlexW1968885880MaRDI QIDQ2644025

Igor A. Vestfrid

Publication date: 27 August 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.02.068

zbMATH Keywords

functionalnormed spacesisomorphismEuclidean spaces

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Orthogonal additivity and other conditional functional equations (39B55)

Cites Work

• Addendum to: ``\(\varepsilon\)-isometries in Euclidean spaces
• Stability of the orthogonality equation on bounded domains.
• Linear approximation of approximately linear functions
• \(\epsilon\)-isometries in Euclidean spaces
• A New Generalization of a Theorem of Jung for the Orthogonality Equation

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