Orthogonality and additivity modulo \(\mathbb{Z}\)

DOI10.1007/BF03323038zbMath0828.39010MaRDI QIDQ1895179

Gian Luigi Forti, Karol Baron

Publication date: 11 January 1996

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

inner product spaceorthogonalitytopological vector spaceorthogonally exponential functionsadditivity modulo \(\mathbb{Z}\)

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (7)

A conditional exponential functional equation and its stability ⋮ On the Cauchy difference of functions bounded modulo \(\mathbb{Z}\) on ``large sets ⋮ On functionals which are orthogonally additive modulo \(\mathbb{Z}\) ⋮ On some recent developments in Ulam's type stability ⋮ On linear functional equations modulo \({\mathbb{Z}} \) ⋮ Recent developments of the conditional stability of the homomorphism equation ⋮ Orthogonalities and functional equations

Cites Work

• On orthogonally additive mappings
• On a theorem of van der Corput
• Orthogonality and additivity modulo a subgroup
• On orthogonally exponential functions
• Conditional functional equations and orthogonal additivity
• Approximate homomorphisms
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• Unnamed Item

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