On orthogonality spaces admitting nontrivial even orthogonally additive mappings

DOI10.1007/BF01903720zbMath0722.39007OpenAlexW2083863401MaRDI QIDQ756027

György Szabó

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01903720

zbMATH Keywords

inner productvector spaceabelian groupCauchy functional equationBirkhoff-James orthogonalityorthogonality spaceJordan-von Neumann functional equationsnontrivial even orthogonally additive mappingsquasi norm

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (7)

Conditional functional equations and orthogonal additivity ⋮ Orthogonality spaces and orthogonally additive mappings ⋮ On even orthogonally additive mappings in orthogonality spaces ⋮ \(\varphi{}\)-orthogonally additive mappings. III: A characterization of generalized inner product spaces ⋮ On orthogonally additive mappings. IV ⋮ On a \(\rho\)-orthogonally additive mappings ⋮ Orthogonalities and functional equations

Cites Work

• On orthogonally additive mappings
• On mappings, orthogonally additive in the Birkhoff-James sense
• Orthogonally additive and orthogonally increasing functions on vector spaces
• Orthogonality and Nonlinear Functionals on Banach Spaces
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Inner products in normed linear spaces
• Unnamed Item

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