Hyers-Ulam-Rassias stability of generalized derivations

DOI10.1155/IJMMS/2006/93942zbMath1120.39029arXivmath/0501012MaRDI QIDQ884214

Mohammad Sal Moslehian

Publication date: 13 June 2007

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501012

zbMATH Keywords

Banach algebrageneralized derivationstability of functional equationsnormed algebraBanach bimoduleapproximate generalized derivation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Commutators, derivations, elementary operators, etc. (47B47) Functional equations for functions with more general domains and/or ranges (39B52) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (12)

Survey on recent Ulam stability results concerning derivations ⋮ Editorial: Ulam's type stability and fixed points methods 2016 ⋮ A Purely Fixed Point Approach to the Ulam-Hyers Stability and Hyperstability of a General Functional Equation ⋮ Ulam-Hyers-Rassias stability problem for several kinds of mappings ⋮ Approximation of generalized left derivations ⋮ Hyers-Ulam stability of a functional equation with several parameters ⋮ Stability of homomorphisms and generalized derivations on Banach algebras ⋮ Superstability of generalized derivations ⋮ Some results on stability of extended derivations ⋮ Nearly generalized Jordan derivations ⋮ Generalized Hyers-Ulam stability of generalized \((N,K)\)-derivations ⋮ Superstability for generalized module left derivations and generalized module derivations on a Banach module. I

Cites Work

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• On stability of additive mappings
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• Lie \(\ast\)-homomorphisms between Lie \(C^*\)-algebras and Lie \(\ast\)-derivations on Lie \(C^*\)-algebras
• \(\sigma\)-derivations in Banach algebras
• Approximately vanishing of topological cohomology groups
• On the stability of \(J^*\)-homomorphisms
• On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
• On the Stability of the Linear Mapping in Banach Spaces
• Generalized derivations in rings^*

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