Stability of functional equations and properties of groups

DOI10.2478/amsil-2019-0004zbMath1425.39016OpenAlexW2944621277WikidataQ127940403 ScholiaQ127940403MaRDI QIDQ2272522

Gian Luigi Forti

Publication date: 10 September 2019

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amsil-2019-0004

zbMATH Keywords

stabilityquadratic functional equationamenable groupweak commutativityadditive functional equation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Commutator calculus (20F12) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items

Stability results and separations theorems

Cites Work

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• Tabor groups with finiteness conditions.
• Variations on the Drygas equation and its stability
• Uniform non-amenability of free Burnside groups
• The stability of homomorphisms and amenability, with applications to functional equations
• The stability of the quadratic functional equation on amenable groups
• Remarks on the stability of Drygas' equation and the Pexider-quadratic equation
• Hyers-Ulam stability of functional equations in several variables
• On Tabor groupoids and stability of some functional equations
• Forti's example of an unstable homomorphism equation
• On the Hahn--Banach theorem for groups
• Addition theorems and related geometric problems of group representation theory
• Proprieta’ locali e approssimazione di operatori
• On separation theorems for subadditive and superadditive functionals
• THE FREE BURNSIDE GROUPS OF SUFFICIENTLY LARGE EXPONENTS
• Note on a Stability Theorem
• Group Representations and Stability of Functional Equations