Linear mappings preserving \(\rho \)-orthogonality

DOI10.1016/j.jmaa.2011.07.062zbMath1238.46014OpenAlexW1995971972MaRDI QIDQ640956

Paweł Wójcik

Publication date: 21 October 2011

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.2011.07.062

zbMATH Keywords

\(\rho \)-orthogonalityorthogonality in normed spacesorthogonality preserving linear mappingssmooth normed spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (16)

Linear mappings approximately preserving \(\rho_\ast\)-orthogonality ⋮ Birkhoff-James orthogonality and its local symmetry in some sequence spaces ⋮ From norm derivatives to orthogonalities in Hilbert C*-modules ⋮ An orthogonality relation in complex normed spaces based on norm derivatives ⋮ Birkhoff–James Orthogonality Reversing Property and Its Stability ⋮ On Exact and Approximate Orthogonalities Based on Norm Derivatives ⋮ On certain basis connected with operator and its applications ⋮ Operators preserving sesquilinear form ⋮ AOP mappings and the distance to the scalar multiples of isometries ⋮ Characterization of linear similarities through functional equation and mappings preserving orthogonalities ⋮ An identity for \((\delta,\varepsilon)\)-approximately orthogonality preserving mappings ⋮ Orthogonality and smoothness induced by the norm derivatives ⋮ A generalized orthogonality relation via norm derivatives in real normed linear spaces ⋮ Approximate \(\rho_\lambda^v\)-orthogonality and its preservation ⋮ Linear mappings approximately preserving orthogonality in real normed spaces ⋮ Orthogonalities and functional equations

Cites Work

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• On a \(\rho\)-orthogonality
• Characterizations of inner product spaces
• Isosceles-orthogonality preserving property and its stability
• Semi-Inner-Product Spaces
• On maps that preserve orthogonality in normed spaces
• Operators preserving orthogonality are isometries
• Classes of Semi-Inner-Product Spaces

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