Hyers–Ulam–Rassias stability of homomorphisms in quasi-Banach algebras
Copyright policy )Hyers–Ulam–Rassias stability of homomorphisms in quasi-Banach algebras
The author investigates the Hyers-Ulam stability problem of homomorphisms between quasi-Banach algebras. According to the main results, under suitable requirements, an ``approximate'' homomorphism of a quasi-Banach algebra is ``close'' to a homomorphism; moreover, similarly to the classical case, the homomorphism is generated by the Hyers-iteration. As applications, sufficient conditions are given for a mapping between quasi-Banach algebras to be an isomorphism.
- University of Seoul
- Hanyang University Korea (Republic of)
- Hanyang University Korea (Republic of)
- Department of Mathematics
p-Banach algebra, Homomorphism in quasi-Banach algebra, Mathematics(all), Isomorphic theory (including renorming) of Banach spaces, homomorphism, Cauchy functional equation, Stability, separation, extension, and related topics for functional equations, Hyers–Ulam–Rassias stability, Jensen functional equation, quasi-Banach algebra, isomorphism, Functional equations for functions with more general domains and/or ranges, \(p\)-Banach algebra, Hyers-Ulam stability, Hyers-Ulam-Rassias stability
p-Banach algebra, Homomorphism in quasi-Banach algebra, Mathematics(all), Isomorphic theory (including renorming) of Banach spaces, homomorphism, Cauchy functional equation, Stability, separation, extension, and related topics for functional equations, Hyers–Ulam–Rassias stability, Jensen functional equation, quasi-Banach algebra, isomorphism, Functional equations for functions with more general domains and/or ranges, \(p\)-Banach algebra, Hyers-Ulam stability, Hyers-Ulam-Rassias stability
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