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Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras

Authors: Park, Chun-Gil;

Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras

Abstract

AbstractIn this paper, we prove the Hyers–Ulam–Rassias stability of homomorphisms in quasi-Banach algebras. This is applied to investigate isomorphisms between quasi-Banach algebras.

Keywords

p-Banach algebra, Homomorphism in quasi-Banach algebra, Mathematics(all), Cauchy functional equation, homomorphism in quasi-Banach algebra, 39B52, Hyers–Ulam–Rassias stability, generalized derivation, Jensen functional equation, Hyers-Ulam-Rassias stability, functional equation, 47Jxx, 46B03

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
68
Average
Top 10%
Top 10%
Green
hybrid