Decomposable functions and representations of topological semigroups

DOI10.1007/s00010-010-0005-6zbMath1216.39032OpenAlexW1983951165MaRDI QIDQ623384

Ekaterina Shulman

Publication date: 14 February 2011

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

Full work available at URL: https://doi.org/10.1007/s00010-010-0005-6

zbMATH Keywords

addition theoremsfunctional equation on semigroupsrepresentations of topological semigroups

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) Functional equations for functions with more general domains and/or ranges (39B52) Structure of topological semigroups (22A15)

Related Items (12)

On Popoviciu-Ionescu functional equation ⋮ Symmetric spectral synthesis ⋮ On certain generalizations of the Levi-Civita and Wilson functional equations ⋮ A comparison among methods for proving stability ⋮ Functional equations for exponential polynomials ⋮ Polynomial equations for additive functions. I: The inner parameter case ⋮ Exponential rationals ⋮ Monomial functions, normal polynomials and polynomial equations ⋮ Some extensions of the Levi-Civitá functional equation and richly periodic spaces of functions ⋮ Subadditive set-functions on semigroups, applications to group representations and functional equations ⋮ Subadditive maps and functional equations ⋮ Characterization of field homomorphisms through Pexiderized functional equations

Cites Work

• Unnamed Item
• Addition theorems and representations of topological semigroups
• On some functional equations and representations of topological semigroups
• Hyers-Ulam-Rassias stability of a Jensen type functional equation
• On the stability of a functional equation deriving from an inequality of Popoviciu for convex functions
• HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC TYPE FUNCTIONAL EQUATION
• Group Representations and Stability of Functional Equations
• On the stability of the quadratic mapping in normed spaces
• On the generalized Hyers-Ulam-Rassias stability of an \(n\)-dimensional quadratic function equation

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