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On the Cauchy difference on normed spaces

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Publication:1349462
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DOI10.1007/BF02940800zbMath0864.39009OpenAlexW2084372244MaRDI QIDQ1349462

Janusz Brzdȩk

Publication date: 22 June 1997

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02940800


zbMATH Keywords

stabilitytopological groupnormed spaceCauchy equationconditional functional equation


Mathematics Subject Classification ID

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


Related Items (5)

On some recent developments in Ulam's type stability ⋮ CONTINUITY OF MEASURABLE HOMOMORPHISMS ⋮ Solutions of the \(n\)th-order Cauchy difference equation on groups ⋮ Solutions of the third order Cauchy difference equation on groups ⋮ Exponential functional equation on spheres



Cites Work

  • On orthogonally additive mappings
  • On a theorem of van der Corput
  • Orthogonality and additivity modulo a subgroup
  • On the Pexider difference
  • Christensen Zero Sets and Measurable Convex Functions
  • Borel Structures in Groups and Semigroups.
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