Approximate cubic \(\ast\)-derivations on Banach \(\ast\)-algebras

DOI10.1155/2012/684179zbMath1251.39027OpenAlexW2156594365WikidataQ58695875 ScholiaQ58695875MaRDI QIDQ448777

Abasalt Bodaghi, Seo Yoon Yang, Kamel Ariffin Mohd Atan

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/684179

zbMATH Keywords

stabilitysuperstabilityBanach \(\ast\)-algebrascubic \(\ast\)-derivations

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 (15)

Almost Multi-Cubic Mappings and a Fixed Point Application ⋮ What can be expected from a cubic derivation on finite dimensional algebras? ⋮ The generalized cubic functional equation and the stability of cubic Jordan \(\ast\)-derivations ⋮ Hyperstability of Jordan triple derivations on Banach algebras ⋮ An \(n\)-dimensional cubic functional equation and its Hyers-Ulam stability ⋮ Approximate cubic Lie derivations ⋮ A FIXED POINT APPROACH TO THE STABILITY OF QUARTIC LIE ∗-DERIVATIONS ⋮ Asymptotic behavior of almost quartic \(\ast \)-derivations on Banach \(\ast \)-algebras ⋮ Unnamed Item ⋮ Two multi-cubic functional equations and some results on the stability in modular spaces ⋮ Approximately ternary homomorphisms on \(C^*\)-ternary algebras ⋮ Unnamed Item ⋮ Approximate reciprocal Lie \(\star \)-derivations ⋮ A fixed point approach to the stability of sextic Lie *-derivations ⋮ Various Approximate Multiplicative Inverse Lie $$\star $$-Derivations

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