Homomorphisms in quasi-Banach algebras associated with a pexiderized Cauchy-Jensen functional equation

DOI10.1007/S10114-009-7648-ZzbMath1183.39022OpenAlexW2156376950MaRDI QIDQ1044323

Abbas Najati

Publication date: 11 December 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-7648-z

zbMATH Keywords

generalized Hyers-Ulam stabilityCauchy additive mappingJensen additive mapping\(p\)-Banach algebrahomomorphisms in quasi-Banach algebraspexiderized Jensen functional equation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Isomorphic theory (including renorming) of Banach spaces (46B03) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (8)

Bihomomorphisms and biderivations in Lie Banach algebras ⋮ Approximate \((m,n)\)-Cauchy-Jensen additive mappings in \(C^\ast\)-algebras ⋮ Comment on: ``On the stability of quadratic double centralizers and quadratic multipliers: a fixed point approach ⋮ Approximate behavior of bi-quadratic mappings in quasinormed spaces ⋮ The Hyers-Ulam stability of a functional equation deriving from quadratic and cubic functions in quasi-\(\beta \)-normed spaces ⋮ On the Stability of Some Functional Equations and s-Functional Inequalities ⋮ On the stability of a Cauchy type functional equation ⋮ Unnamed Item

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