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Approximation of generalized derivation in quasi-Banach algebras

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Abstract

Motivated by the notion of the Hyers–Ulam stability, we will first study the stability problem of a certain class of functional inequalities associated with Jordan–von Neumann type additive functional equation in quasi-Banach spaces. The second part of this research is devoted to investigate the approximation of generalized derivations satisfying some specific functional inequalities in quasi-Banach algebras.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences and Technology, S. M. Ben Abdellah University, Fez, Morocco

    Iz-iddine EL-Fassi, Jawad Boutarfass & Lahcen Oukhtite

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  1. Iz-iddine EL-Fassi
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  2. Jawad Boutarfass
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  3. Lahcen Oukhtite
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Correspondence to Iz-iddine EL-Fassi.

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EL-Fassi, Ii., Boutarfass, J. & Oukhtite, L. Approximation of generalized derivation in quasi-Banach algebras. Rend. Circ. Mat. Palermo, II. Ser (2024). https://doi.org/10.1007/s12215-024-01042-2

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