On functionals which are orthogonally additive modulo \(\mathbb{Z}\)

DOI10.1007/BF03322177zbMath0862.39012OpenAlexW2010473175MaRDI QIDQ1923646

Janusz Brzdȩk

Publication date: 25 May 1997

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

Full work available at URL: https://doi.org/10.1007/bf03322177

zbMATH Keywords

inner product spacecongruenceCauchy differenceconditional Cauchy equationChristensen measurable setsorthogonally additive linear functionals

Mathematics Subject Classification ID

Functional equations for real functions (39B22) 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 some recent developments in Ulam's type stability ⋮ On approximately additive functions ⋮ On a Pexiderized conditional exponential functional equation ⋮ Recent developments of the conditional stability of the homomorphism equation ⋮ Orthogonalities and functional equations

Cites Work

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• On orthogonally additive mappings
• On a theorem of van der Corput
• Orthogonality and additivity modulo a subgroup
• Theorems of Bernstein-Doetsch, Piccard and Mehdi and semilinear topology
• On orthogonally exponential functions
• Orthogonality and additivity modulo \(\mathbb{Z}\)
• On sets of Haar measure zero in abelian Polish groups
• Christensen Zero Sets and Measurable Convex Functions

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