The Hyers-Ulam-Rassias stability of \((m, n)_{(\sigma, \tau)}\)-derivations on normed algebras

DOI10.1155/2012/347478zbMath1251.39023OpenAlexW2000168397WikidataQ58696368 ScholiaQ58696368MaRDI QIDQ448670

Ajda Fošner

Publication date: 7 September 2012

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

Full work available at URL: https://doi.org/10.1155/2012/347478

zbMATH Keywords

Hyers-Ulam-Rassias stabilityderivationsnormed algebras

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) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (3)

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

Cites Work

• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On some equations related to derivations in rings.
• Superstability of multipliers and ring derivations on Banach algebras
• On the generalized Hyers-Ulam stability of module left derivations
• Ternary derivations, stability and physical aspects
• Nearly ternary derivations
• On the stability of the linear transformation in Banach spaces
• Automatic continuity of $\sigma $-derivations on $C^*$-algebras
• On the Stability of the Linear Mapping in Banach Spaces
• On approximate derivations
• On the Stability of the Linear Functional Equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Hyers-Ulam-Rassias stability of \((m, n)_{(\sigma, \tau)}\)-derivations on normed algebras