Stability of generalized derivations on Hilbert \(\mathrm{C}^\ast\)-modules associated with a Pexiderized Cauchy-Jensen type functional equation

DOI10.1016/S0252-9602(12)60094-0zbMath1274.39053MaRDI QIDQ1954047

Ali Ebadian, N. Ghobadipour, Ismail Nikoufar, Themistocles M. Rassias

Publication date: 20 June 2013

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

Hyers-Ulam-Rassias stabilityfixed pointgeneralized derivationHilbert \(\mathrm{C}^\ast\)-modulePexiderized Cauchy-Jensen type functional equation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) (C^*)-modules (46L08) Functional equations for functions with more general domains and/or ranges (39B52) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (8)

Ulam stability of two fuzzy number-valued functional equations ⋮ A fixed point approach to almost double derivations and Lie \(*\)-double derivations ⋮ On the stability of a parametric additive functional equation in quasi-Banach spaces ⋮ Unnamed Item ⋮ Stability and superstability of ternary homomorphisms and ternary derivations on ternary quasi-Banach algebras ⋮ Jordan \((\theta, \phi)\)-derivations on Hilbert \(C^\ast\)-modules ⋮ Unnamed Item ⋮ On the stability of left δ-centralizers on Banach Lie triple systems

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