Orthogonality spaces and orthogonally additive mappings

DOI10.1007/s10474-006-0104-yzbMath1121.39027OpenAlexW1975919933MaRDI QIDQ879204

Dilian Yang

Publication date: 8 May 2007

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-006-0104-y

zbMATH Keywords

conditional Cauchy functional equationorthogonally additive mappingOrthogonality space

Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15) Orthogonal additivity and other conditional functional equations (39B55)

Related Items

On even orthogonally additive mappings in orthogonality spaces ⋮ On a \(\rho\)-orthogonally additive mappings ⋮ Orthogonalities and functional equations

Cites Work

• On orthogonally additive mappings. III
• On orthogonality spaces admitting nontrivial even orthogonally additive mappings
• On orthogonally additive mappings
• Orthogonally additive and orthogonally increasing functions on vector spaces
• On orthogonally additive mappings. IV
• Orthogonality and Nonlinear Functionals on Banach Spaces
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Inner products in normed linear spaces
• Cauchy functional equation problems concerning orthogonality
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