Pythagorean orthogonality and additive mappings

DOI10.1007/BF02215968zbMath0901.39008WikidataQ114233868 ScholiaQ114233868MaRDI QIDQ675212

György Szabó

Publication date: 15 November 1998

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

Full work available at URL: https://eudml.org/doc/137680

zbMATH Keywords

isosceles orthogonalityorthogonally additive mappingsAbelian groupnormed vector spacePythagorean orthogonalityJames orthogonalitygeometry of normed spacesunconditional additivity

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (2)

Orthogonality Types in Normed Linear Spaces ⋮ Orthogonalities and functional equations

Cites Work

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• 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
• Inner products in normed linear spaces
• Orthogonality in normed linear spaces

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