Mappings preserving \(B\)-orthogonality

DOI10.1016/J.INDAG.2018.09.007zbMath1411.46014OpenAlexW2892919565MaRDI QIDQ1629135

Paweł Wójcik

Publication date: 11 December 2018

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2018.09.007

zbMATH Keywords

additive mappingsBirkhoff orthogonalitygeometry of Banach spacesorthogonality preserving linear mappings

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (8)

Birkhoff–James Orthogonality: Characterizations, Preservers, and Orthogonality Graphs ⋮ Orthogonality Hilbert 𝒜-modules and operators preserving multi-𝒜-linearity ⋮ Nonlinear equivalence of Banach spaces based on Birkhoff-James orthogonality. II ⋮ Nonlinear classification of Banach spaces based on geometric structure spaces ⋮ On Exact and Approximate Orthogonalities Based on Norm Derivatives ⋮ Nonlinear equivalence of Banach spaces based on Birkhoff-James orthogonality ⋮ Characterization of linear similarities through functional equation and mappings preserving orthogonalities ⋮ On Birkhoff-James orthogonality preservers between real non-isometric Banach spaces

Cites Work

• On orthogonally additive mappings
• Orthogonally additive and orthogonally increasing functions on vector spaces
• On maps that preserve orthogonality in normed spaces
• Operators preserving orthogonality are isometries

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