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http://dx.doi.org/10.4134/BKMS.2008.45.1.111

ISOMORPHISMS IN QUASI-BANACH ALGEBRAS  

Park, Choon-Kil (DEPARTMENT OF MATHEMATICS HANYANG UNIVERSITY)
An, Jong-Su (DEPARTMENT OF MATHEMATICS EDUCATION PUSAN NATIONAL UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.45, no.1, 2008 , pp. 111-118 More about this Journal
Abstract
Using the Hyers-Ulam-Rassias stability method, we investigate isomorphisms in quasi-Banach algebras and derivations on quasi-Banach algebras associated with the Cauchy-Jensen functional equation $$2f(\frac{x+y}{2}+z)$$=f(x)+f(y)+2f(z), which was introduced and investigated in [2, 17]. The concept of Hyers-Ulam-Rassias stability originated from the Th. M. Rassias' stability theorem that appeared in the paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300. Furthermore, isometries and isometric isomorphisms in quasi-Banach algebras are studied.
Keywords
Cauchy-Jensen functional equation; isomorphism; isometry; derivation; quasi-Banach algebra;
Citations & Related Records

Times Cited By Web Of Science : 2  (Related Records In Web of Science)
Times Cited By SCOPUS : 4
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