Hyers-Ulam-Rassias stability of generalized module left \((m,n)\)-derivations

DOI10.1186/1029-242X-2013-208zbMath1282.39028WikidataQ59292676 ScholiaQ59292676MaRDI QIDQ394601

Ajda Fošner

Publication date: 27 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

Hyers-Ulam-Rassias stabilitynormed algebraBanach left \(\mathcal A\)-modulegeneralized module left \((m,n)\)-derivationmodule left \((m,n)\)-derivation

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) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (2)

Survey on recent Ulam stability results concerning derivations ⋮ Editorial: Ulam's type stability and fixed points methods 2016

Cites Work

• On the stability of functional equations
• On some functional equations arising from \((m,n)\)-Jordan derivations and commutativity of prime rings.
• On left Jordan derivations of rings and Banach algebras
• The functional equation of multiplicative derivation is superstable on standard operator algebras
• Homomorphisms between Poisson JC*-algebras
• Remarks on the stability of Lie homomorphisms
• On a class of sets connected with a convex function
• On the generalized Hyers-Ulam stability of module left derivations
• Ternary derivations, stability and physical aspects
• Sum of graphs of continuous functions and boundedness of additive operators
• Approximately isometric and multiplicative transformations on continuous function rings
• On the stability of the linear transformation in Banach spaces
• On the Stability of the Linear Functional Equation

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