\(\varphi{}\)-orthogonally additive mappings. III: A characterization of generalized inner product spaces

DOI10.1007/BF01818493zbMath0790.46017OpenAlexW2075654504MaRDI QIDQ1180493

György Szabó

Publication date: 27 June 1992

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137432

zbMATH Keywords

orthogonalityconditional Cauchy functional equationsymmetric bilinear orthogonality

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Characterizations of Hilbert spaces (46C15) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Functional equations for functions with more general domains and/or ranges (39B52)

Cites Work

• Unnamed Item
• On orthogonality spaces admitting nontrivial even orthogonally additive mappings
• On orthogonally additive mappings
• \(\phi\)-orthogonally additive mappings. I
• Orthogonally additive and orthogonally increasing functions on vector spaces
• On orthogonally additive mappings. IV
• Orthogonality and additive functions on normed linear spaces

This page was built for publication: \(\varphi{}\)-orthogonally additive mappings. III: A characterization of generalized inner product spaces